31996414449216 has 420 divisors, whose sum is σ = 110485087160448. Its totient is φ = 9129205274112.

The previous prime is 31996414449169. The next prime is 31996414449217. The reversal of 31996414449216 is 61294441469913.

31996414449216 is a `hidden beast` number, since 3 + 1 + 9 + 96 + 4 + 1 + 44 + 492 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (31996414449217) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 184583001 + ... + 184756263.

Almost surely, 2^{31996414449216} is an apocalyptic number.

31996414449216 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 31996414449216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55242543580224).

31996414449216 is an abundant number, since it is smaller than the sum of its proper divisors (78488672711232).

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

31996414449216 is a wasteful number, since it uses less digits than its factorization.

31996414449216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174028 (or 174002 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 63.

The spelling of 31996414449216 in words is "thirty-one trillion, nine hundred ninety-six billion, four hundred fourteen million, four hundred forty-nine thousand, two hundred sixteen".