31135461696 has 126 divisors (see below), whose sum is σ = 92673189050. Its totient is φ = 10378347264.

The previous prime is 31135461613. The next prime is 31135461737. The reversal of 31135461696 is 69616453113.

31135461696 is a `hidden beast` number, since 3 + 1 + 1 + 3 + 546 + 16 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27734239296 + 3401222400 = 166536^2 + 58320^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 382830 + ... + 456978.

Almost surely, 2^31135461696 is an apocalyptic number.

31135461696 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 31135461696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46336594525).

31135461696 is an abundant number, since it is smaller than the sum of its proper divisors (61537727354).

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

31135461696 is an frugal number, since it uses more digits than its factorization.

31135461696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74185 (or 74154 counting only the distinct ones).

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

The spelling of 31135461696 in words is "thirty-one billion, one hundred thirty-five million, four hundred sixty-one thousand, six hundred ninety-six".