90347102352 has 160 divisors (see below), whose sum is σ = 280344556800. Its totient is φ = 27692955648.

The previous prime is 90347102323. The next prime is 90347102381. The reversal of 90347102352 is 25320174309.

It is an interprime number because it is at equal distance from previous prime (90347102323) and next prime (90347102381).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1446424 + ... + 1507592.

It is an arithmetic number, because the mean of its divisors is an integer number (1752153480).

Almost surely, 2^90347102352 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 90347102352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140172278400).

90347102352 is an abundant number, since it is smaller than the sum of its proper divisors (189997454448).

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

90347102352 is a wasteful number, since it uses less digits than its factorization.

90347102352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61462 (or 61450 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 90347102352 in words is "ninety billion, three hundred forty-seven million, one hundred two thousand, three hundred fifty-two".