90153248346 has 48 divisors (see below), whose sum is σ = 231504646464. Its totient is φ = 25758069984.

The previous prime is 90153248321. The next prime is 90153248351. The reversal of 90153248346 is 64384235109.

90153248346 is a `hidden beast` number, since 90 + 15 + 32 + 483 + 46 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13246635 + ... + 13253438.

It is an arithmetic number, because the mean of its divisors is an integer number (4823013468).

Almost surely, 2^90153248346 is an apocalyptic number.

90153248346 is an abundant number, since it is smaller than the sum of its proper divisors (141351398118).

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

90153248346 is a wasteful number, since it uses less digits than its factorization.

90153248346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26500097 (or 26500085 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 90153248346 in words is "ninety billion, one hundred fifty-three million, two hundred forty-eight thousand, three hundred forty-six".