90999984365312 has 72 divisors (see below), whose sum is σ = 198782741313072. Its totient is φ = 41233144217600.

The previous prime is 90999984365287. The next prime is 90999984365341. The reversal of 90999984365312 is 21356348999909.

It is a super-3 number, since 3×90999984365312³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50077889 + ... + 51863232.

It is an arithmetic number, because the mean of its divisors is an integer number (2760871407126).

Almost surely, 2^{90999984365312} is an apocalyptic number.

It is an amenable number.

90999984365312 is an abundant number, since it is smaller than the sum of its proper divisors (107782756947760).

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

90999984365312 is a wasteful number, since it uses less digits than its factorization.

90999984365312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101941465 (or 101941451 counting only the distinct ones).

The product of its (nonzero) digits is 1020366720, while the sum is 77.

The spelling of 90999984365312 in words is "ninety trillion, nine hundred ninety-nine billion, nine hundred eighty-four million, three hundred sixty-five thousand, three hundred twelve".