90114397918272 has 336 divisors, whose sum is σ = 317951827473280. Its totient is φ = 23762826952704.

The previous prime is 90114397918253. The next prime is 90114397918339. The reversal of 90114397918272 is 27281979341109.

90114397918272 is a `hidden beast` number, since 9 + 0 + 1 + 14 + 397 + 91 + 82 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 354362304 + ... + 354616512.

Almost surely, 2^{90114397918272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90114397918272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158975913736640).

90114397918272 is an abundant number, since it is smaller than the sum of its proper divisors (227837429555008).

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

90114397918272 is a wasteful number, since it uses less digits than its factorization.

90114397918272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261010 (or 260997 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 63.

The spelling of 90114397918272 in words is "ninety trillion, one hundred fourteen billion, three hundred ninety-seven million, nine hundred eighteen thousand, two hundred seventy-two".