45645527400 has 192 divisors, whose sum is σ = 154858927680. Its totient is φ = 11030169600.

The previous prime is 45645527353. The next prime is 45645527423. The reversal of 45645527400 is 472554654.

45645527400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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, 2081292 + ... + 2103108.

It is an arithmetic number, because the mean of its divisors is an integer number (806556915).

Almost surely, 2^45645527400 is an apocalyptic number.

45645527400 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 45645527400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77429463840).

45645527400 is an abundant number, since it is smaller than the sum of its proper divisors (109213400280).

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

45645527400 is a wasteful number, since it uses less digits than its factorization.

45645527400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22164 (or 22155 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 42.

The spelling of 45645527400 in words is "forty-five billion, six hundred forty-five million, five hundred twenty-seven thousand, four hundred".