45190103184 has 240 divisors, whose sum is σ = 133573672960. Its totient is φ = 14243454720.

The previous prime is 45190103141. The next prime is 45190103201. The reversal of 45190103184 is 48130109154.

45190103184 is a `hidden beast` number, since 451 + 90 + 10 + 31 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41572689 + ... + 41573775.

Almost surely, 2^45190103184 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 45190103184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66786836480).

45190103184 is an abundant number, since it is smaller than the sum of its proper divisors (88383569776).

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

45190103184 is a wasteful number, since it uses less digits than its factorization.

45190103184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 45190103184 in words is "forty-five billion, one hundred ninety million, one hundred three thousand, one hundred eighty-four".