45539424000 has 864 divisors, whose sum is σ = 191509718400. Its totient is φ = 10386432000.

The previous prime is 45539423981. The next prime is 45539424023. The reversal of 45539424000 is 42493554.

It is a happy number.

45539424000 is a `hidden beast` number, since 45 + 539 + 42 + 40 + 0 + 0 = 666.

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

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, 98783770 + ... + 98784230.

Almost surely, 2^45539424000 is an apocalyptic number.

45539424000 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 45539424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95754859200).

45539424000 is an abundant number, since it is smaller than the sum of its proper divisors (145970294400).

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

45539424000 is an equidigital number, since it uses as much as digits as its factorization.

45539424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 45539424000 in words is "forty-five billion, five hundred thirty-nine million, four hundred twenty-four thousand".