45249815520 has 576 divisors, whose sum is σ = 191616122880. Its totient is φ = 9468555264.

The previous prime is 45249815473. The next prime is 45249815563. The reversal of 45249815520 is 2551894254.

45249815520 is a `hidden beast` number, since 4 + 5 + 2 + 4 + 98 + 1 + 552 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16640721 + ... + 16643439.

It is an arithmetic number, because the mean of its divisors is an integer number (332666880).

Almost surely, 2^45249815520 is an apocalyptic number.

45249815520 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 45249815520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95808061440).

45249815520 is an abundant number, since it is smaller than the sum of its proper divisors (146366307360).

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

45249815520 is a wasteful number, since it uses less digits than its factorization.

45249815520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2887 (or 2876 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 45249815520 in words is "forty-five billion, two hundred forty-nine million, eight hundred fifteen thousand, five hundred twenty".