45020146765800 has 192 divisors, whose sum is σ = 151765850560320. Its totient is φ = 10993790914560.

The previous prime is 45020146765793. The next prime is 45020146765819. The reversal of 45020146765800 is 856764102054.

45020146765800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45020146765800² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45020146765800.

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 47 ways as a sum of consecutive naturals, for example, 59267734 + ... + 60022533.

It is an arithmetic number, because the mean of its divisors is an integer number (790447138335).

Almost surely, 2^{45020146765800} is an apocalyptic number.

45020146765800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45020146765800 is an abundant number, since it is smaller than the sum of its proper divisors (106745703794520).

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

45020146765800 is a wasteful number, since it uses less digits than its factorization.

45020146765800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119290340 (or 119290331 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 45020146765800 in words is "forty-five trillion, twenty billion, one hundred forty-six million, seven hundred sixty-five thousand, eight hundred".