2116162857601 has 16 divisors (see below), whose sum is σ = 2301632858448. Its totient is φ = 1933936128000.

The previous prime is 2116162857563. The next prime is 2116162857623. The reversal of 2116162857601 is 1067582616112.

It can be written as a sum of positive squares in 8 ways, for example, as 19980105201 + 2096182752400 = 141351^2 + 1447820^2 .

It is a cyclic number.

It is not a de Polignac number, because 2116162857601 - 2¹⁵ = 2116162824833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2116162867601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34949385 + ... + 35009881.

It is an arithmetic number, because the mean of its divisors is an integer number (143852053653).

Almost surely, 2^{2116162857601} is an apocalyptic number.

It is an amenable number.

2116162857601 is a deficient number, since it is larger than the sum of its proper divisors (185470000847).

2116162857601 is a wasteful number, since it uses less digits than its factorization.

2116162857601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87252.

The product of its (nonzero) digits is 241920, while the sum is 46.

The spelling of 2116162857601 in words is "two trillion, one hundred sixteen billion, one hundred sixty-two million, eight hundred fifty-seven thousand, six hundred one".