45856552896 has 1344 divisors, whose sum is σ = 190692633600. Its totient is φ = 10510663680.

The previous prime is 45856552837. The next prime is 45856552927. The reversal of 45856552896 is 69825565854.

45856552896 is a `hidden beast` number, since 4 + 58 + 56 + 5 + 528 + 9 + 6 = 666.

45856552896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 472747920 + ... + 472748016.

It is an arithmetic number, because the mean of its divisors is an integer number (141884400).

Almost surely, 2^45856552896 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 45856552896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95346316800).

45856552896 is an abundant number, since it is smaller than the sum of its proper divisors (144836080704).

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

45856552896 is a wasteful number, since it uses less digits than its factorization.

45856552896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 156 counting only the distinct ones).

The product of its digits is 103680000, while the sum is 63.

The spelling of 45856552896 in words is "forty-five billion, eight hundred fifty-six million, five hundred fifty-two thousand, eight hundred ninety-six".