45189688320 has 1408 divisors, whose sum is σ = 202045777920. Its totient is φ = 9342812160.

The previous prime is 45189688319. The next prime is 45189688321. The reversal of 45189688320 is 2388698154.

45189688320 is a `hidden beast` number, since 4 + 518 + 96 + 8 + 8 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45189688319) and next prime (45189688321).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45189688321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 674472927 + ... + 674472993.

Almost surely, 2^45189688320 is an apocalyptic number.

45189688320 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 45189688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101022888960).

45189688320 is an abundant number, since it is smaller than the sum of its proper divisors (156856089600).

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

45189688320 is a wasteful number, since it uses less digits than its factorization.

45189688320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 45189688320 in words is "forty-five billion, one hundred eighty-nine million, six hundred eighty-eight thousand, three hundred twenty".