90712911744 has 1536 divisors, whose sum is σ = 376059801600. Its totient is φ = 20878000128.

The previous prime is 90712911721. The next prime is 90712911767. The reversal of 90712911744 is 44711921709.

It is an interprime number because it is at equal distance from previous prime (90712911721) and next prime (90712911767).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 90712911744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1930061929 + ... + 1930061975.

It is an arithmetic number, because the mean of its divisors is an integer number (244830600).

Almost surely, 2^90712911744 is an apocalyptic number.

90712911744 is a gapful number since it is divisible by the number (94) 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 90712911744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188029900800).

90712911744 is an abundant number, since it is smaller than the sum of its proper divisors (285346889856).

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

90712911744 is a wasteful number, since it uses less digits than its factorization.

90712911744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 90712911744 in words is "ninety billion, seven hundred twelve million, nine hundred eleven thousand, seven hundred forty-four".