78131969314441 has 27 divisors (see below), whose sum is σ = 94132518803271. Its totient is φ = 64659455131824.

The previous prime is 78131969314417. The next prime is 78131969314459. The reversal of 78131969314441 is 14441396913187.

The square root of 78131969314441 is 8839229.

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., 40970509474041 + 37161459840400 = 6400821^2 + 6096020^2 .

It is not a de Polignac number, because 78131969314441 - 2⁵ = 78131969314409 is a prime.

It is a super-2 number, since 2×78131969314441² (a number of 29 digits) contains 22 as substring.

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 78131969314441.

It is not an unprimeable number, because it can be changed into a prime (78131969014441) 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, 1794341716 + ... + 1794385258.

Almost surely, 2^{78131969314441} is an apocalyptic number.

78131969314441 is the 8839229-th square number.

78131969314441 is the 4419615-th centered octagonal number.

It is an amenable number.

78131969314441 is a deficient number, since it is larger than the sum of its proper divisors (16000549488830).

78131969314441 is an frugal number, since it uses more digits than its factorization.

78131969314441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87158 (or 43579 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 61.

The spelling of 78131969314441 in words is "seventy-eight trillion, one hundred thirty-one billion, nine hundred sixty-nine million, three hundred fourteen thousand, four hundred forty-one".