45856711560 has 256 divisors, whose sum is σ = 155543224320. Its totient is φ = 10714752000.

The previous prime is 45856711553. The next prime is 45856711573. The reversal of 45856711560 is 6511765854.

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 63 ways as a sum of consecutive naturals, for example, 10759830 + ... + 10764090.

It is an arithmetic number, because the mean of its divisors is an integer number (607590720).

Almost surely, 2^45856711560 is an apocalyptic number.

45856711560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45856711560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77771612160).

45856711560 is an abundant number, since it is smaller than the sum of its proper divisors (109686512760).

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

45856711560 is a wasteful number, since it uses less digits than its factorization.

45856711560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4580 (or 4576 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 48.

The spelling of 45856711560 in words is "forty-five billion, eight hundred fifty-six million, seven hundred eleven thousand, five hundred sixty".