90348598915344 has 1485 divisors, whose sum is σ = 338399685578871. Its totient is φ = 23282387694720.

The previous prime is 90348598915313. The next prime is 90348598915403. The reversal of 90348598915344 is 44351989584309.

The square root of 90348598915344 is 9505188.

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

90348598915344 is a `hidden beast` number, since 9 + 0 + 3 + 4 + 8 + 5 + 9 + 89 + 1 + 534 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 296 ways as a sum of consecutive naturals, for example, 711406290609 + ... + 711406290735.

Almost surely, 2^{90348598915344} is an apocalyptic number.

90348598915344 is the 9505188-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90348598915344

90348598915344 is an abundant number, since it is smaller than the sum of its proper divisors (248051086663527).

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

90348598915344 is an equidigital number, since it uses as much as digits as its factorization.

90348598915344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 671846400, while the sum is 72.

The spelling of 90348598915344 in words is "ninety trillion, three hundred forty-eight billion, five hundred ninety-eight million, nine hundred fifteen thousand, three hundred forty-four".