45476938645120 has 64 divisors (see below), whose sum is σ = 108721389990600. Its totient is φ = 18190259519488.

The previous prime is 45476938645109. The next prime is 45476938645169. The reversal of 45476938645120 is 2154683967454.

45476938645120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 35309360540224 + 10167578104896 = 5942168^2 + 3188664^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (64).

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 7 ways as a sum of consecutive naturals, for example, 21984336 + ... + 23963824.

It is a 1-persistent number, because it is pandigital, but 2⋅45476938645120 = 90953877290240 is not.

Almost surely, 2^{45476938645120} is an apocalyptic number.

45476938645120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45476938645120 is an abundant number, since it is smaller than the sum of its proper divisors (63244451345480).

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

45476938645120 is a wasteful number, since it uses less digits than its factorization.

45476938645120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015405 (or 2015393 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 64.

The spelling of 45476938645120 in words is "forty-five trillion, four hundred seventy-six billion, nine hundred thirty-eight million, six hundred forty-five thousand, one hundred twenty".