45206116560 has 120 divisors (see below), whose sum is σ = 165618801504. Its totient is φ = 10959056640.

The previous prime is 45206116537. The next prime is 45206116573. The reversal of 45206116560 is 6561160254.

45206116560 is a `hidden beast` number, since 4 + 5 + 20 + 61 + 16 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 2846002 + ... + 2861841.

Almost surely, 2^45206116560 is an apocalyptic number.

45206116560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45206116560 is an abundant number, since it is smaller than the sum of its proper divisors (120412684944).

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

45206116560 is a wasteful number, since it uses less digits than its factorization.

45206116560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5707873 (or 5707864 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 45206116560 in words is "forty-five billion, two hundred six million, one hundred sixteen thousand, five hundred sixty".