90334718250 has 128 divisors (see below), whose sum is σ = 257814835200. Its totient is φ = 20637633600.

The previous prime is 90334718233. The next prime is 90334718267. The reversal of 90334718250 is 5281743309.

It is an interprime number because it is at equal distance from previous prime (90334718233) and next prime (90334718267).

It is a super-2 number, since 2×90334718250² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16729051 + ... + 16734449.

It is an arithmetic number, because the mean of its divisors is an integer number (2014178400).

Almost surely, 2^90334718250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90334718250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128907417600).

90334718250 is an abundant number, since it is smaller than the sum of its proper divisors (167480116950).

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

90334718250 is a wasteful number, since it uses less digits than its factorization.

90334718250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8613 (or 8603 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 90334718250 in words is "ninety billion, three hundred thirty-four million, seven hundred eighteen thousand, two hundred fifty".