90479019106116 has 567 divisors, whose sum is σ = 256046327398701. Its totient is φ = 27959023145088.

The previous prime is 90479019106103. The next prime is 90479019106127. The reversal of 90479019106116 is 61160191097409.

The square root of 90479019106116 is 9512046.

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

90479019106116 is a `hidden beast` number, since 9 + 0 + 4 + 7 + 9 + 0 + 1 + 9 + 10 + 611 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 51360298892100 + 39118720214016 = 7166610^2 + 6254496^2 .

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 188 ways as a sum of consecutive naturals, for example, 712433221245 + ... + 712433221371.

Almost surely, 2^{90479019106116} is an apocalyptic number.

90479019106116 is the 9512046-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90479019106116

90479019106116 is an abundant number, since it is smaller than the sum of its proper divisors (165567308292585).

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

90479019106116 is an equidigital number, since it uses as much as digits as its factorization.

90479019106116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 54.

The spelling of 90479019106116 in words is "ninety trillion, four hundred seventy-nine billion, nineteen million, one hundred six thousand, one hundred sixteen".