45856497278592 has 4224 divisors, whose sum is σ = 201865661424000. Its totient is φ = 10056734392320.

The previous prime is 45856497278587. The next prime is 45856497278593. The reversal of 45856497278592 is 29587279465854.

45856497278592 is a `hidden beast` number, since 4 + 5 + 8 + 5 + 6 + 497 + 2 + 78 + 59 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a Harshad number since it is a multiple of its sum of digits (81).

Its product of digits (12192768000) is a multiple of the sum of its prime divisors (84).

It is not an unprimeable number, because it can be changed into a prime (45856497278593) by changing a digit.

It is a polite number, since it can be written in 527 ways as a sum of consecutive naturals, for example, 1581258526834 + ... + 1581258526862.

Almost surely, 2^{45856497278592} is an apocalyptic number.

45856497278592 is a gapful number since it is divisible by the number (42) 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 45856497278592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100932830712000).

45856497278592 is an abundant number, since it is smaller than the sum of its proper divisors (156009164145408).

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

45856497278592 is a wasteful number, since it uses less digits than its factorization.

45856497278592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 84 counting only the distinct ones).

The product of its digits is 12192768000, while the sum is 81.

The spelling of 45856497278592 in words is "forty-five trillion, eight hundred fifty-six billion, four hundred ninety-seven million, two hundred seventy-eight thousand, five hundred ninety-two".