45249103872 has 576 divisors, whose sum is σ = 160267161600. Its totient is φ = 12481413120.

The previous prime is 45249103859. The next prime is 45249103891. The reversal of 45249103872 is 27830194254.

45249103872 is a `hidden beast` number, since 4 + 524 + 91 + 0 + 38 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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, 107992879 + ... + 107993297.

It is an arithmetic number, because the mean of its divisors is an integer number (278241600).

Almost surely, 2^45249103872 is an apocalyptic number.

45249103872 is a gapful number since it is divisible by the number (42) 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 45249103872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80133580800).

45249103872 is an abundant number, since it is smaller than the sum of its proper divisors (115018057728).

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

45249103872 is an equidigital number, since it uses as much as digits as its factorization.

45249103872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 45249103872 in words is "forty-five billion, two hundred forty-nine million, one hundred three thousand, eight hundred seventy-two".