90946505295072 has 144 divisors (see below), whose sum is σ = 297227406752640. Its totient is φ = 25839549686016.

The previous prime is 90946505295067. The next prime is 90946505295073. The reversal of 90946505295072 is 27059250564909.

90946505295072 is a `hidden beast` number, since 9 + 0 + 9 + 4 + 6 + 50 + 529 + 50 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90946505295073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125651298 + ... + 126373025.

It is an arithmetic number, because the mean of its divisors is an integer number (2064079213560).

Almost surely, 2^{90946505295072} is an apocalyptic number.

It is an amenable number.

90946505295072 is an abundant number, since it is smaller than the sum of its proper divisors (206280901457568).

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

90946505295072 is a wasteful number, since it uses less digits than its factorization.

90946505295072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252024525 (or 252024514 counting only the distinct ones).

The product of its (nonzero) digits is 61236000, while the sum is 63.

The spelling of 90946505295072 in words is "ninety trillion, nine hundred forty-six billion, five hundred five million, two hundred ninety-five thousand, seventy-two".