90989102736 has 675 divisors, whose sum is σ = 325565974851. Its totient is φ = 24628629312.

The previous prime is 90989102683. The next prime is 90989102753. The reversal of 90989102736 is 63720198909.

The square root of 90989102736 is 301644.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4788900135 + ... + 4788900153.

Almost surely, 2^90989102736 is an apocalyptic number.

90989102736 is the 301644-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90989102736

90989102736 is an abundant number, since it is smaller than the sum of its proper divisors (234576872115).

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

90989102736 is an frugal number, since it uses more digits than its factorization.

90989102736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 90989102736 in words is "ninety billion, nine hundred eighty-nine million, one hundred two thousand, seven hundred thirty-six".