90318488988816 has 675 divisors, whose sum is σ = 291400004327817. Its totient is φ = 26987194206720.

The previous prime is 90318488988809. The next prime is 90318488988821. The reversal of 90318488988816 is 61888988481309.

The square root of 90318488988816 is 9503604.

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

90318488988816 is a `hidden beast` number, since 9 + 0 + 31 + 8 + 488 + 98 + 8 + 8 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18341861907600 + 71976627081216 = 4282740^2 + 8483904^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 387632999836 + ... + 387633000068.

Almost surely, 2^{90318488988816} is an apocalyptic number.

90318488988816 is the 9503604-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90318488988816

90318488988816 is an abundant number, since it is smaller than the sum of its proper divisors (201081515339001).

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

90318488988816 is a wasteful number, since it uses less digits than its factorization.

90318488988816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 1528823808, while the sum is 81.

90318488988816 divided by its sum of digits (81) gives a square (1115043073936 = 1055956²).

The spelling of 90318488988816 in words is "ninety trillion, three hundred eighteen billion, four hundred eighty-eight million, nine hundred eighty-eight thousand, eight hundred sixteen".