45163008000 has 1092 divisors, whose sum is σ = 185751926724. Its totient is φ = 10948608000.

The previous prime is 45163007983. The next prime is 45163008131. The reversal of 45163008000 is 80036154.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1445216256 + 43717791744 = 38016^2 + 209088^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 4105727995 + ... + 4105728005.

It is an arithmetic number, because the mean of its divisors is an integer number (170102497).

Almost surely, 2^45163008000 is an apocalyptic number.

45163008000 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 45163008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92875963362).

45163008000 is an abundant number, since it is smaller than the sum of its proper divisors (140588918724).

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

45163008000 is an frugal number, since it uses more digits than its factorization.

45163008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Multiplying 45163008000 by its product of nonzero digits (2880), we get a square (130069463040000 = 11404800²).

45163008000 divided by its product of nonzero digits (2880) gives a square (15681600 = 3960²).

The spelling of 45163008000 in words is "forty-five billion, one hundred sixty-three million, eight thousand".