75318167388816 has 675 divisors, whose sum is σ = 239101082266995. Its totient is φ = 22132523064960.

The previous prime is 75318167388769. The next prime is 75318167388839. The reversal of 75318167388816 is 61888376181357.

The square root of 75318167388816 is 8678604.

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

75318167388816 is a `hidden beast` number, since 7 + 5 + 3 + 1 + 8 + 167 + 388 + 81 + 6 = 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 134 ways as a sum of consecutive naturals, for example, 541857319275 + ... + 541857319413.

Almost surely, 2^{75318167388816} is an apocalyptic number.

75318167388816 is the 8678604-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75318167388816

75318167388816 is an abundant number, since it is smaller than the sum of its proper divisors (163782914878179).

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

75318167388816 is an equidigital number, since it uses as much as digits as its factorization.

75318167388816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 198 counting only the distinct ones).

The product of its digits is 325140480, while the sum is 72.

The spelling of 75318167388816 in words is "seventy-five trillion, three hundred eighteen billion, one hundred sixty-seven million, three hundred eighty-eight thousand, eight hundred sixteen".