311713405969 has 27 divisors (see below), whose sum is σ = 370702994043. Its totient is φ = 261344082048.

The previous prime is 311713405967. The next prime is 311713405979. The reversal of 311713405969 is 969504317113.

The square root of 311713405969 is 558313.

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., 300068406225 + 11644999744 = 547785^2 + 107912^2 .

It is not a de Polignac number, because 311713405969 - 2¹ = 311713405967 is a prime.

It is a super-2 number, since 2×311713405969² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311713405967) 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, 183684129 + ... + 183685825.

Almost surely, 2^311713405969 is an apocalyptic number.

311713405969 is the 558313-rd square number.

311713405969 is the 279157-th centered octagonal number.

It is an amenable number.

311713405969 is a deficient number, since it is larger than the sum of its proper divisors (58989588074).

311713405969 is an frugal number, since it uses more digits than its factorization.

311713405969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3502 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 49.

Multiplying 311713405969 by its sum of digits (49), we get a square (15273956892481 = 3908191²).

311713405969 divided by its sum of digits (49) gives a square (6361498081 = 79759²).

The spelling of 311713405969 in words is "three hundred eleven billion, seven hundred thirteen million, four hundred five thousand, nine hundred sixty-nine".