46475257464 has 128 divisors (see below), whose sum is σ = 136046131200. Its totient is φ = 14671324800.

The previous prime is 46475257427. The next prime is 46475257483.

46475257464 is a `hidden beast` number, since 4 + 6 + 4 + 7 + 5 + 2 + 574 + 64 = 666.

46475257464 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×46475257464² (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 46475257464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 455457 + ... + 548079.

It is an arithmetic number, because the mean of its divisors is an integer number (1062860400).

Almost surely, 2^46475257464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46475257464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68023065600).

46475257464 is an abundant number, since it is smaller than the sum of its proper divisors (89570873736).

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

46475257464 is a wasteful number, since it uses less digits than its factorization.

46475257464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92762 (or 92752 counting only the distinct ones).

The product of its digits is 22579200, while the sum is 54.

The spelling of 46475257464 in words is "forty-six billion, four hundred seventy-five million, two hundred fifty-seven thousand, four hundred sixty-four".