45788522883840 has 288 divisors, whose sum is σ = 177257086272000. Its totient is φ = 11100247879680.

The previous prime is 45788522883827. The next prime is 45788522883869. The reversal of 45788522883840 is 4838822588754.

45788522883840 is a `hidden beast` number, since 4 + 5 + 78 + 85 + 22 + 88 + 384 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 59842540 + ... + 60602859.

It is an arithmetic number, because the mean of its divisors is an integer number (615475994000).

Almost surely, 2^{45788522883840} is an apocalyptic number.

45788522883840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45788522883840 is an abundant number, since it is smaller than the sum of its proper divisors (131468563388160).

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

45788522883840 is a wasteful number, since it uses less digits than its factorization.

45788522883840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120445440 (or 120445420 counting only the distinct ones).

The product of its (nonzero) digits is 1101004800, while the sum is 72.

The spelling of 45788522883840 in words is "forty-five trillion, seven hundred eighty-eight billion, five hundred twenty-two million, eight hundred eighty-three thousand, eight hundred forty".