979409101801 has 27 divisors (see below), whose sum is σ = 1068275559429. Its totient is φ = 897526367712.

The previous prime is 979409101661. The next prime is 979409101823. The reversal of 979409101801 is 108101904979.

The square root of 979409101801 is 989651.

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 616735355625 + 362673746176 = 785325^2 + 602224^2 .

It is not a de Polignac number, because 979409101801 - 2⁹ = 979409101289 is a prime.

It is a super-3 number, since 3×979409101801³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (979409111801) 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 26 ways as a sum of consecutive naturals, for example, 3460809406 + ... + 3460809688.

Almost surely, 2^979409101801 is an apocalyptic number.

979409101801 is the 989651-st square number.

979409101801 is the 494826-th centered octagonal number.

It is an amenable number.

979409101801 is a deficient number, since it is larger than the sum of its proper divisors (88866457628).

979409101801 is an frugal number, since it uses more digits than its factorization.

979409101801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 49.

Multiplying 979409101801 by its sum of digits (49), we get a square (47991045988249 = 6927557²).

The spelling of 979409101801 in words is "nine hundred seventy-nine billion, four hundred nine million, one hundred one thousand, eight hundred one".