7969616948601 has 189 divisors, whose sum is σ = 14877524756991. Its totient is φ = 4099070052000.

The previous prime is 7969616948599. The next prime is 7969616948621. The reversal of 7969616948601 is 1068496169697.

The square root of 7969616948601 is 2823051.

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

7969616948601 is a `hidden beast` number, since 7 + 9 + 6 + 9 + 6 + 1 + 6 + 9 + 4 + 8 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7657113588201 + 312503360400 = 2767149^2 + 559020^2 .

It is not a de Polignac number, because 7969616948601 - 2¹ = 7969616948599 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 7969616948601.

It is not an unprimeable number, because it can be changed into a prime (7969616948621) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 78907098451 + ... + 78907098551.

Almost surely, 2^{7969616948601} is an apocalyptic number.

7969616948601 is the 2823051-st square number.

7969616948601 is the 1411526-th centered octagonal number.

It is an amenable number.

7969616948601 is a deficient number, since it is larger than the sum of its proper divisors (6907907808390).

7969616948601 is an frugal number, since it uses more digits than its factorization.

7969616948601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 211631616, while the sum is 72.

The spelling of 7969616948601 in words is "seven trillion, nine hundred sixty-nine billion, six hundred sixteen million, nine hundred forty-eight thousand, six hundred one".