45559476091104 has 96 divisors (see below), whose sum is σ = 119834413524000. Its totient is φ = 15155929350144.

The previous prime is 45559476090983. The next prime is 45559476091117. The reversal of 45559476091104 is 40119067495554.

45559476091104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×45559476091104² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217790592 + ... + 217999680.

It is an arithmetic number, because the mean of its divisors is an integer number (1248275140875).

Almost surely, 2^{45559476091104} is an apocalyptic number.

It is an amenable number.

45559476091104 is an abundant number, since it is smaller than the sum of its proper divisors (74274937432896).

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

45559476091104 is a wasteful number, since it uses less digits than its factorization.

45559476091104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213660 (or 213652 counting only the distinct ones).

The product of its (nonzero) digits is 27216000, while the sum is 60.

The spelling of 45559476091104 in words is "forty-five trillion, five hundred fifty-nine billion, four hundred seventy-six million, ninety-one thousand, one hundred four".