45820525824 has 360 divisors, whose sum is σ = 140440460160. Its totient is φ = 14854275072.

The previous prime is 45820525811. The next prime is 45820525859. The reversal of 45820525824 is 42852502854.

45820525824 is a `hidden beast` number, since 45 + 8 + 2 + 0 + 525 + 82 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 45820525824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 135965784 + ... + 135966120.

Almost surely, 2^45820525824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45820525824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70220230080).

45820525824 is an abundant number, since it is smaller than the sum of its proper divisors (94619934336).

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

45820525824 is an equidigital number, since it uses as much as digits as its factorization.

45820525824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 1024000, while the sum is 45.

The spelling of 45820525824 in words is "forty-five billion, eight hundred twenty million, five hundred twenty-five thousand, eight hundred twenty-four".