90153248352 has 96 divisors (see below), whose sum is σ = 263761142400. Its totient is φ = 26794764288.

The previous prime is 90153248351. The next prime is 90153248363. The reversal of 90153248352 is 25384235109.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90153248351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1422702 + ... + 1484717.

It is an arithmetic number, because the mean of its divisors is an integer number (2747511900).

Almost surely, 2^90153248352 is an apocalyptic number.

It is an amenable number.

90153248352 is an abundant number, since it is smaller than the sum of its proper divisors (173607894048).

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

90153248352 is a wasteful number, since it uses less digits than its factorization.

90153248352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2907468 (or 2907460 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 90153248352 in words is "ninety billion, one hundred fifty-three million, two hundred forty-eight thousand, three hundred fifty-two".