1170617966401 has 9 divisors (see below), whose sum is σ = 1267607466531. Its totient is φ = 1080557447112.

The previous prime is 1170617966389. The next prime is 1170617966473. The reversal of 1170617966401 is 1046697160711.

The square root of 1170617966401 is 1081951.

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., 173168338225 + 997449628176 = 416135^2 + 998724^2 .

It is not a de Polignac number, because 1170617966401 - 2⁹ = 1170617965889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1170617966491) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14023750 + ... + 14106976.

It is an arithmetic number, because the mean of its divisors is an integer number (140845274059).

Almost surely, 2^{1170617966401} is an apocalyptic number.

1170617966401 is the 1081951-st square number.

1170617966401 is the 540976-th centered octagonal number.

It is an amenable number.

1170617966401 is a deficient number, since it is larger than the sum of its proper divisors (96989500130).

1170617966401 is an frugal number, since it uses more digits than its factorization.

1170617966401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166480 (or 83240 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 49.

Multiplying 1170617966401 by its sum of digits (49), we get a square (57360280353649 = 7573657²).

The spelling of 1170617966401 in words is "one trillion, one hundred seventy billion, six hundred seventeen million, nine hundred sixty-six thousand, four hundred one".