46659598663680 has 960 divisors, whose sum is σ = 175571562700800. Its totient is φ = 11723955240960.

The previous prime is 46659598663663. The next prime is 46659598663697. The reversal of 46659598663680 is 8636689595664.

46659598663680 is a `hidden beast` number, since 4 + 66 + 59 + 5 + 98 + 66 + 368 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (46659598663663) and next prime (46659598663697).

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×46659598663680² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 46659598663680.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8026764454 + ... + 8026770266.

It is an arithmetic number, because the mean of its divisors is an integer number (182887044480).

Almost surely, 2^{46659598663680} is an apocalyptic number.

46659598663680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46659598663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87785781350400).

46659598663680 is an abundant number, since it is smaller than the sum of its proper divisors (128911964037120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46659598663680 is a wasteful number, since it uses less digits than its factorization.

46659598663680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6065 (or 6033 counting only the distinct ones).

The product of its (nonzero) digits is 12093235200, while the sum is 81.

The spelling of 46659598663680 in words is "forty-six trillion, six hundred fifty-nine billion, five hundred ninety-eight million, six hundred sixty-three thousand, six hundred eighty".