45897868800 has 1080 divisors, whose sum is σ = 196266429216. Its totient is φ = 10208378880.

The previous prime is 45897868789. The next prime is 45897868811. The reversal of 45897868800 is 886879854.

45897868800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45897868789) and next prime (45897868811).

It is a super-2 number, since 2×45897868800² (a number of 22 digits) contains 22 as substring.

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 107 ways as a sum of consecutive naturals, for example, 265305514 + ... + 265305686.

Almost surely, 2^45897868800 is an apocalyptic number.

45897868800 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 45897868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98133214608).

45897868800 is an abundant number, since it is smaller than the sum of its proper divisors (150368560416).

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

45897868800 is a wasteful number, since it uses less digits than its factorization.

45897868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 45897868800 in words is "forty-five billion, eight hundred ninety-seven million, eight hundred sixty-eight thousand, eight hundred".