29079498436681 has 81 divisors (see below), whose sum is σ = 37854707168397. Its totient is φ = 22256526618480.

The previous prime is 29079498436561. The next prime is 29079498436717. The reversal of 29079498436681 is 18663489497092.

The square root of 29079498436681 is 5392541.

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

It is not a de Polignac number, because 29079498436681 - 2²³ = 29079490048073 is a prime.

It is a super-2 number, since 2×29079498436681² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 29079498436598 and 29079498436607.

It is not an unprimeable number, because it can be changed into a prime (29079498436481) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 24498313170 + ... + 24498314356.

Almost surely, 2^{29079498436681} is an apocalyptic number.

29079498436681 is the 5392541-st square number.

29079498436681 is the 2696271-st centered octagonal number.

It is an amenable number.

29079498436681 is a deficient number, since it is larger than the sum of its proper divisors (8775208731716).

29079498436681 is an frugal number, since it uses more digits than its factorization.

29079498436681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2528 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 1128701952, while the sum is 76.

The spelling of 29079498436681 in words is "twenty-nine trillion, seventy-nine billion, four hundred ninety-eight million, four hundred thirty-six thousand, six hundred eighty-one".