90749223936 has 1408 divisors, whose sum is σ = 358437888000. Its totient is φ = 22072393728.

The previous prime is 90749223853. The next prime is 90749223937. The reversal of 90749223936 is 63932294709.

90749223936 is a `hidden beast` number, since 90 + 7 + 492 + 2 + 39 + 36 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90749223937) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2452681710 + ... + 2452681746.

Almost surely, 2^90749223936 is an apocalyptic number.

90749223936 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 90749223936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179218944000).

90749223936 is an abundant number, since it is smaller than the sum of its proper divisors (267688664064).

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

90749223936 is a wasteful number, since it uses less digits than its factorization.

90749223936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 90749223936 in words is "ninety billion, seven hundred forty-nine million, two hundred twenty-three thousand, nine hundred thirty-six".