45101952000 has 1584 divisors, whose sum is σ = 204444010368. Its totient is φ = 9496166400.

The previous prime is 45101951941. The next prime is 45101952019. The reversal of 45101952000 is 25910154.

45101952000 is a `hidden beast` number, since 451 + 0 + 1 + 9 + 5 + 200 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 959615977 + ... + 959616023.

Almost surely, 2^45101952000 is an apocalyptic number.

45101952000 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 45101952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102222005184).

45101952000 is an abundant number, since it is smaller than the sum of its proper divisors (159342058368).

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

45101952000 is a wasteful number, since it uses less digits than its factorization.

45101952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 45101952000 in words is "forty-five billion, one hundred one million, nine hundred fifty-two thousand".