7101617392996 has 81 divisors (see below), whose sum is σ = 15358663169451. Its totient is φ = 2864262110976.

The previous prime is 7101617392957. The next prime is 7101617393027. The reversal of 7101617392996 is 6992937161017.

The square root of 7101617392996 is 2664886.

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

It can be written as a sum of positive squares in 4 ways, for example, as 671535396 + 7100945857600 = 25914^2 + 2664760^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 634237270 + ... + 634248466.

Almost surely, 2^{7101617392996} is an apocalyptic number.

7101617392996 is the 2664886-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7101617392996

7101617392996 is an abundant number, since it is smaller than the sum of its proper divisors (8257045776455).

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

7101617392996 is an equidigital number, since it uses as much as digits as its factorization.

7101617392996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22446 (or 11223 counting only the distinct ones).

The product of its (nonzero) digits is 7715736, while the sum is 61.

The spelling of 7101617392996 in words is "seven trillion, one hundred one billion, six hundred seventeen million, three hundred ninety-two thousand, nine hundred ninety-six".