13607695477321 has 27 divisors (see below), whose sum is σ = 15010888093383. Its totient is φ = 12326402808720.

The previous prime is 13607695477301. The next prime is 13607695477339. The reversal of 13607695477321 is 12377459670631.

It is a happy number.

The square root of 13607695477321 is 3688861.

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., 8406723319225 + 5200972158096 = 2899435^2 + 2280564^2 .

It is not a de Polignac number, because 13607695477321 - 2¹¹ = 13607695475273 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13607695477321.

It is not an unprimeable number, because it can be changed into a prime (13607695477301) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17975819275 + ... + 17975820031.

Almost surely, 2^{13607695477321} is an apocalyptic number.

13607695477321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13607695477321 is the 3688861-st square number.

13607695477321 is the 1844431-st centered octagonal number.

It is an amenable number.

13607695477321 is a deficient number, since it is larger than the sum of its proper divisors (1403192616062).

13607695477321 is an frugal number, since it uses more digits than its factorization.

13607695477321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2422 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 61.

The spelling of 13607695477321 in words is "thirteen trillion, six hundred seven billion, six hundred ninety-five million, four hundred seventy-seven thousand, three hundred twenty-one".