45201564441000 has 192 divisors, whose sum is σ = 166670496158400. Its totient is φ = 10957954992000.

The previous prime is 45201564440969. The next prime is 45201564441029. The reversal of 45201564441000 is 14446510254.

45201564441000 is a `hidden beast` number, since 4 + 5 + 2 + 0 + 1 + 5 + 644 + 4 + 1 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228191730 + ... + 228389729.

It is an arithmetic number, because the mean of its divisors is an integer number (868075500825).

Almost surely, 2^{45201564441000} is an apocalyptic number.

45201564441000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45201564441000 is an abundant number, since it is smaller than the sum of its proper divisors (121468931717400).

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

45201564441000 is a wasteful number, since it uses less digits than its factorization.

45201564441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456581497 (or 456581480 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 45201564441000 in words is "forty-five trillion, two hundred one billion, five hundred sixty-four million, four hundred forty-one thousand".