45604651400 has 192 divisors, whose sum is σ = 132932741760. Its totient is φ = 14135040000.

The previous prime is 45604651381. The next prime is 45604651429. The reversal of 45604651400 is 415640654.

45604651400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2779220 + ... + 2795580.

It is an arithmetic number, because the mean of its divisors is an integer number (692358030).

Almost surely, 2^45604651400 is an apocalyptic number.

45604651400 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 45604651400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66466370880).

45604651400 is an abundant number, since it is smaller than the sum of its proper divisors (87328090360).

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

45604651400 is a wasteful number, since it uses less digits than its factorization.

45604651400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16576 (or 16567 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The spelling of 45604651400 in words is "forty-five billion, six hundred four million, six hundred fifty-one thousand, four hundred".