46138660755264 has 420 divisors, whose sum is σ = 173562719188320. Its totient is φ = 11984067002880.

The previous prime is 46138660755227. The next prime is 46138660755289. The reversal of 46138660755264 is 46255706683164.

46138660755264 is a `hidden beast` number, since 4 + 6 + 1 + 38 + 6 + 6 + 0 + 75 + 526 + 4 = 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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5462044 + ... + 11050395.

It is an arithmetic number, because the mean of its divisors is an integer number (413244569496).

Almost surely, 2^{46138660755264} is an apocalyptic number.

46138660755264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46138660755264 is an abundant number, since it is smaller than the sum of its proper divisors (127424058433056).

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

46138660755264 is a wasteful number, since it uses less digits than its factorization.

46138660755264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16512488 (or 16512462 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 46138660755264 in words is "forty-six trillion, one hundred thirty-eight billion, six hundred sixty million, seven hundred fifty-five thousand, two hundred sixty-four".