45189394900 has 144 divisors (see below), whose sum is σ = 116679032064. Its totient is φ = 15020881920.

The previous prime is 45189394897. The next prime is 45189394907. The reversal of 45189394900 is 949398154.

It is a super-2 number, since 2×45189394900² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45189394907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 463849 + ... + 552751.

It is an arithmetic number, because the mean of its divisors is an integer number (810271056).

Almost surely, 2^45189394900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45189394900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58339516032).

45189394900 is an abundant number, since it is smaller than the sum of its proper divisors (71489637164).

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

45189394900 is a wasteful number, since it uses less digits than its factorization.

45189394900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88970 (or 88963 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 52.

The spelling of 45189394900 in words is "forty-five billion, one hundred eighty-nine million, three hundred ninety-four thousand, nine hundred".