45561724600 has 96 divisors (see below), whose sum is σ = 121414193280. Its totient is φ = 15575978880.

The previous prime is 45561724591. The next prime is 45561724687. The reversal of 45561724600 is 642716554.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 438907 + ... + 532693.

It is an arithmetic number, because the mean of its divisors is an integer number (1264731180).

Almost surely, 2^45561724600 is an apocalyptic number.

45561724600 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 45561724600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60707096640).

45561724600 is an abundant number, since it is smaller than the sum of its proper divisors (75852468680).

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

45561724600 is a wasteful number, since it uses less digits than its factorization.

45561724600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94157 (or 94148 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 45561724600 in words is "forty-five billion, five hundred sixty-one million, seven hundred twenty-four thousand, six hundred".