90964371456 has 864 divisors, whose sum is σ = 332084188800. Its totient is φ = 23843635200.

The previous prime is 90964371439. The next prime is 90964371467. The reversal of 90964371456 is 65417346909.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 602412981 + ... + 602413131.

It is an arithmetic number, because the mean of its divisors is an integer number (384356700).

Almost surely, 2^90964371456 is an apocalyptic number.

90964371456 is a gapful number since it is divisible by the number (96) 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 90964371456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166042094400).

90964371456 is an abundant number, since it is smaller than the sum of its proper divisors (241119817344).

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

90964371456 is a wasteful number, since it uses less digits than its factorization.

90964371456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 90964371456 in words is "ninety billion, nine hundred sixty-four million, three hundred seventy-one thousand, four hundred fifty-six".