90351437956976 has 160 divisors (see below), whose sum is σ = 202189538743680. Its totient is φ = 38313057189888.

The previous prime is 90351437956963. The next prime is 90351437956981. The reversal of 90351437956976 is 67965973415309.

It is a hoax number, since the sum of its digits (74) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4149690026 + ... + 4149711798.

It is an arithmetic number, because the mean of its divisors is an integer number (1263684617148).

Almost surely, 2^{90351437956976} 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 90351437956976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101094769371840).

90351437956976 is an abundant number, since it is smaller than the sum of its proper divisors (111838100786704).

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

90351437956976 is a wasteful number, since it uses less digits than its factorization.

90351437956976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22931 (or 22925 counting only the distinct ones).

The product of its (nonzero) digits is 1157360400, while the sum is 74.

The spelling of 90351437956976 in words is "ninety trillion, three hundred fifty-one billion, four hundred thirty-seven million, nine hundred fifty-six thousand, nine hundred seventy-six".