45953235954 has 64 divisors (see below), whose sum is σ = 109315008000. Its totient is φ = 14265570960.

The previous prime is 45953235941. The next prime is 45953235967.

45953235954 is a `hidden beast` number, since 4 + 5 + 9 + 532 + 3 + 59 + 54 = 666.

45953235954 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (45953235941) and next prime (45953235967).

It is a super-2 number, since 2×45953235954² (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 45953235954.

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, 319032 + ... + 440099.

It is an arithmetic number, because the mean of its divisors is an integer number (1708047000).

Almost surely, 2^45953235954 is an apocalyptic number.

45953235954 is an abundant number, since it is smaller than the sum of its proper divisors (63361772046).

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

45953235954 is a wasteful number, since it uses less digits than its factorization.

45953235954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759220 (or 759214 counting only the distinct ones).

The product of its digits is 14580000, while the sum is 54.

The spelling of 45953235954 in words is "forty-five billion, nine hundred fifty-three million, two hundred thirty-five thousand, nine hundred fifty-four".