90946653744 has 80 divisors (see below), whose sum is σ = 243612852224. Its totient is φ = 29205964800.

The previous prime is 90946653739. The next prime is 90946653779. The reversal of 90946653744 is 44735664909.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194784 + ... + 468864.

Almost surely, 2^90946653744 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 90946653744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121806426112).

90946653744 is an abundant number, since it is smaller than the sum of its proper divisors (152666198480).

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

90946653744 is a wasteful number, since it uses less digits than its factorization.

90946653744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274346 (or 274340 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 57.

The spelling of 90946653744 in words is "ninety billion, nine hundred forty-six million, six hundred fifty-three thousand, seven hundred forty-four".