31123737645 has 128 divisors (see below), whose sum is σ = 70381301760. Its totient is φ = 11311073280.

The previous prime is 31123737641. The next prime is 31123737661. The reversal of 31123737645 is 54673732113.

It is a happy number.

It is not a de Polignac number, because 31123737645 - 2² = 31123737641 is a prime.

It is a super-3 number, since 3×31123737645³ (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31123737597 and 31123737606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31123737641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 230737 + ... + 339833.

It is an arithmetic number, because the mean of its divisors is an integer number (549853920).

Almost surely, 2^31123737645 is an apocalyptic number.

31123737645 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

31123737645 is an abundant number, since it is smaller than the sum of its proper divisors (39257564115).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31123737645 is a wasteful number, since it uses less digits than its factorization.

31123737645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109155.

The product of its digits is 317520, while the sum is 42.

The spelling of 31123737645 in words is "thirty-one billion, one hundred twenty-three million, seven hundred thirty-seven thousand, six hundred forty-five".