45235608000 has 672 divisors, whose sum is σ = 169019183424. Its totient is φ = 10644480000.

The previous prime is 45235607959. The next prime is 45235608049. The reversal of 45235608000 is 80653254.

It is a super-2 number, since 2×45235608000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 95 ways as a sum of consecutive naturals, for example, 107447790 + ... + 107448210.

It is an arithmetic number, because the mean of its divisors is an integer number (251516642).

Almost surely, 2^45235608000 is an apocalyptic number.

45235608000 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 45235608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84509591712).

45235608000 is an abundant number, since it is smaller than the sum of its proper divisors (123783575424).

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

45235608000 is a wasteful number, since it uses less digits than its factorization.

45235608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 45235608000 in words is "forty-five billion, two hundred thirty-five million, six hundred eight thousand".