46246703431680 has 2048 divisors, whose sum is σ = 184814991360000. Its totient is φ = 10916141727744.

The previous prime is 46246703431679. The next prime is 46246703431711. The reversal of 46246703431680 is 8613430764264.

46246703431680 is a `hidden beast` number, since 4 + 6 + 246 + 7 + 0 + 3 + 4 + 316 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 90857963266 + ... + 90857963774.

It is an arithmetic number, because the mean of its divisors is an integer number (90241695000).

Almost surely, 2^{46246703431680} is an apocalyptic number.

46246703431680 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 46246703431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92407495680000).

46246703431680 is an abundant number, since it is smaller than the sum of its proper divisors (138568287928320).

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

46246703431680 is a wasteful number, since it uses less digits than its factorization.

46246703431680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 46246703431680 in words is "forty-six trillion, two hundred forty-six billion, seven hundred three million, four hundred thirty-one thousand, six hundred eighty".