90865013428224 has 1664 divisors, whose sum is σ = 322981032591360. Its totient is φ = 24708818534400.

The previous prime is 90865013428201. The next prime is 90865013428229. The reversal of 90865013428224 is 42282431056809.

90865013428224 is a `hidden beast` number, since 9 + 0 + 8 + 6 + 501 + 34 + 2 + 82 + 24 = 666.

It is a super-2 number, since 2×90865013428224² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (90865013428229) 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, 292170461029 + ... + 292170461339.

It is an arithmetic number, because the mean of its divisors is an integer number (194099178240).

Almost surely, 2^{90865013428224} 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 90865013428224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161490516295680).

90865013428224 is an abundant number, since it is smaller than the sum of its proper divisors (232116019163136).

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

90865013428224 is a wasteful number, since it uses less digits than its factorization.

90865013428224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 90865013428224 in words is "ninety trillion, eight hundred sixty-five billion, thirteen million, four hundred twenty-eight thousand, two hundred twenty-four".