900112667328 has 504 divisors, whose sum is σ = 3199336857600. Its totient is φ = 240544152576.

The previous prime is 900112667323. The next prime is 900112667339. The reversal of 900112667328 is 823766211009.

It is a tau number, because it is divible by the number of its divisors (504).

It is not an unprimeable number, because it can be changed into a prime (900112667323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42353601 + ... + 42374847.

Almost surely, 2^900112667328 is an apocalyptic number.

900112667328 is a gapful number since it is divisible by the number (98) 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 900112667328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599668428800).

900112667328 is an abundant number, since it is smaller than the sum of its proper divisors (2299224190272).

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

900112667328 is a wasteful number, since it uses less digits than its factorization.

900112667328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21377 (or 21357 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 900112667328 in words is "nine hundred billion, one hundred twelve million, six hundred sixty-seven thousand, three hundred twenty-eight".