90351402336 has 144 divisors (see below), whose sum is σ = 276891791904. Its totient is φ = 27781281792.

The previous prime is 90351402289. The next prime is 90351402397. The reversal of 90351402336 is 63320415309.

It is a happy number.

90351402336 is a `hidden beast` number, since 90 + 3 + 514 + 0 + 23 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 90351402336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6009100 + ... + 6024116.

It is an arithmetic number, because the mean of its divisors is an integer number (1922859666).

Almost surely, 2^90351402336 is an apocalyptic number.

90351402336 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 90351402336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138445895952).

90351402336 is an abundant number, since it is smaller than the sum of its proper divisors (186540389568).

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

90351402336 is a wasteful number, since it uses less digits than its factorization.

90351402336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16653 (or 16642 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 90351402336 in words is "ninety billion, three hundred fifty-one million, four hundred two thousand, three hundred thirty-six".