90861438528 has 168 divisors, whose sum is σ = 310726836000. Its totient is φ = 25960386816.

The previous prime is 90861438509. The next prime is 90861438539. The reversal of 90861438528 is 82583416809.

90861438528 is a `hidden beast` number, since 9 + 0 + 86 + 1 + 4 + 38 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×90861438528² (a number of 23 digits) contains 22 as substring.

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

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, 451878 + ... + 621221.

It is an arithmetic number, because the mean of its divisors is an integer number (1849564500).

Almost surely, 2^90861438528 is an apocalyptic number.

90861438528 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

90861438528 is an abundant number, since it is smaller than the sum of its proper divisors (219865397472).

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

90861438528 is a wasteful number, since it uses less digits than its factorization.

90861438528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073134 (or 1073111 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 90861438528 in words is "ninety billion, eight hundred sixty-one million, four hundred thirty-eight thousand, five hundred twenty-eight".