75846611328016 has 135 divisors (see below), whose sum is σ = 154769197943997. Its totient is φ = 36005079623040.

The previous prime is 75846611328001. The next prime is 75846611328023. The reversal of 75846611328016 is 61082311664857.

The square root of 75846611328016 is 8708996.

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

It can be written as a sum of positive squares in only one way, i.e., 835768953616 + 75010842374400 = 914204^2 + 8660880^2 .

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 145022201131 + ... + 145022201653.

Almost surely, 2^{75846611328016} is an apocalyptic number.

75846611328016 is the 8708996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75846611328016

75846611328016 is an abundant number, since it is smaller than the sum of its proper divisors (78922586615981).

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

75846611328016 is an frugal number, since it uses more digits than its factorization.

75846611328016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 58.

The spelling of 75846611328016 in words is "seventy-five trillion, eight hundred forty-six billion, six hundred eleven million, three hundred twenty-eight thousand, sixteen".