45815666400 has 648 divisors, whose sum is σ = 199015230960. Its totient is φ = 9854853120.

The previous prime is 45815666399. The next prime is 45815666401. The reversal of 45815666400 is 466651854.

45815666400 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 (45815666399) and next prime (45815666401).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45815666401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5993781 + ... + 6001419.

It is an arithmetic number, because the mean of its divisors is an integer number (307122270).

Almost surely, 2^45815666400 is an apocalyptic number.

45815666400 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 45815666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99507615480).

45815666400 is an abundant number, since it is smaller than the sum of its proper divisors (153199564560).

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

45815666400 is a wasteful number, since it uses less digits than its factorization.

45815666400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7696 (or 7673 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 45815666400 in words is "forty-five billion, eight hundred fifteen million, six hundred sixty-six thousand, four hundred".