46260262653696 has 4608 divisors, whose sum is σ = 196211441664000. Its totient is φ = 10405557043200.

The previous prime is 46260262653643. The next prime is 46260262653793. The reversal of 46260262653696 is 69635626206264.

46260262653696 is a `hidden beast` number, since 4 + 6 + 2 + 6 + 0 + 2 + 6 + 2 + 6 + 536 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 511 ways as a sum of consecutive naturals, for example, 519778232020 + ... + 519778232108.

It is an arithmetic number, because the mean of its divisors is an integer number (42580608000).

Almost surely, 2^{46260262653696} is an apocalyptic number.

46260262653696 is a gapful number since it is divisible by the number (46) 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 46260262653696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98105720832000).

46260262653696 is an abundant number, since it is smaller than the sum of its proper divisors (149951179010304).

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

46260262653696 is a wasteful number, since it uses less digits than its factorization.

46260262653696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 63.

The spelling of 46260262653696 in words is "forty-six trillion, two hundred sixty billion, two hundred sixty-two million, six hundred fifty-three thousand, six hundred ninety-six".