31091436216 has 96 divisors (see below), whose sum is σ = 85855302000. Its totient is φ = 10161096192.

The previous prime is 31091436209. The next prime is 31091436223. The reversal of 31091436216 is 61263419013.

31091436216 is a `hidden beast` number, since 3 + 1 + 0 + 9 + 1 + 436 + 216 = 666.

It is an interprime number because it is at equal distance from previous prime (31091436209) and next prime (31091436223).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9687220 + ... + 9690428.

Almost surely, 2^31091436216 is an apocalyptic number.

31091436216 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 31091436216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42927651000).

31091436216 is an abundant number, since it is smaller than the sum of its proper divisors (54763865784).

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

31091436216 is a wasteful number, since it uses less digits than its factorization.

31091436216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5813 (or 5806 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 31091436216 in words is "thirty-one billion, ninety-one million, four hundred thirty-six thousand, two hundred sixteen".