45965799756954 has 96 divisors (see below), whose sum is σ = 128448988237440. Its totient is φ = 11527473283200.

The previous prime is 45965799756871. The next prime is 45965799756971.

45965799756954 is a `hidden beast` number, since 4 + 596 + 5 + 7 + 9 + 9 + 7 + 5 + 6 + 9 + 5 + 4 = 666.

45965799756954 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×45965799756954² (a number of 28 digits) contains 22 as substring.

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, 571759077 + ... + 571839464.

It is an arithmetic number, because the mean of its divisors is an integer number (1338010294140).

Almost surely, 2^{45965799756954} is an apocalyptic number.

45965799756954 is an abundant number, since it is smaller than the sum of its proper divisors (82483188480486).

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

45965799756954 is a wasteful number, since it uses less digits than its factorization.

45965799756954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143598596 (or 1143598593 counting only the distinct ones).

The product of its digits is 115736040000, while the sum is 90.

The spelling of 45965799756954 in words is "forty-five trillion, nine hundred sixty-five billion, seven hundred ninety-nine million, seven hundred fifty-six thousand, nine hundred fifty-four".