45038592000 has 672 divisors, whose sum is σ = 169313193504. Its totient is φ = 11943936000.

The previous prime is 45038591999. The next prime is 45038592023. The reversal of 45038592000 is 29583054.

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 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, 248831910 + ... + 248832090.

It is an arithmetic number, because the mean of its divisors is an integer number (251954157).

Almost surely, 2^45038592000 is an apocalyptic number.

45038592000 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 45038592000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84656596752).

45038592000 is an abundant number, since it is smaller than the sum of its proper divisors (124274601504).

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

45038592000 is an frugal number, since it uses more digits than its factorization.

45038592000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 45038592000 in words is "forty-five billion, thirty-eight million, five hundred ninety-two thousand".