46257399375264 has 288 divisors, whose sum is σ = 167097916911744. Its totient is φ = 11788212234240.

The previous prime is 46257399375251. The next prime is 46257399375311.

It is a happy number.

46257399375264 is a `hidden beast` number, since 4 + 6 + 2 + 5 + 7 + 3 + 9 + 93 + 7 + 526 + 4 = 666.

46257399375264 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 46257399375192 and 46257399375201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18503179 + ... + 20853834.

It is an arithmetic number, because the mean of its divisors is an integer number (580201100388).

Almost surely, 2^{46257399375264} is an apocalyptic number.

46257399375264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46257399375264 is an abundant number, since it is smaller than the sum of its proper divisors (120840517536480).

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

46257399375264 is a wasteful number, since it uses less digits than its factorization.

46257399375264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39357100 (or 39357089 counting only the distinct ones).

The product of its digits is 2057529600, while the sum is 72.

The spelling of 46257399375264 in words is "forty-six trillion, two hundred fifty-seven billion, three hundred ninety-nine million, three hundred seventy-five thousand, two hundred sixty-four".