31419136656 has 100 divisors (see below), whose sum is σ = 91116666300. Its totient is φ = 10452250368.

The previous prime is 31419136607. The next prime is 31419136657. The reversal of 31419136656 is 65663191413.

It can be written as a sum of positive squares in 2 ways, for example, as 18714240000 + 12704896656 = 136800^2 + 112716^2 .

It is not an unprimeable number, because it can be changed into a prime (31419136657) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 635850 + ... + 683478.

It is an arithmetic number, because the mean of its divisors is an integer number (911166663).

Almost surely, 2^31419136656 is an apocalyptic number.

31419136656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31419136656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45558333150).

31419136656 is an abundant number, since it is smaller than the sum of its proper divisors (59697529644).

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

31419136656 is a wasteful number, since it uses less digits than its factorization.

31419136656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48158 (or 48143 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The spelling of 31419136656 in words is "thirty-one billion, four hundred nineteen million, one hundred thirty-six thousand, six hundred fifty-six".