31321344190416 has 160 divisors (see below), whose sum is σ = 92760603893760. Its totient is φ = 8921100851712.

The previous prime is 31321344190403. The next prime is 31321344190439. The reversal of 31321344190416 is 61409144312313.

It is a super-2 number, since 2×31321344190416² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 272840806 + ... + 272955578.

It is an arithmetic number, because the mean of its divisors is an integer number (579753774336).

Almost surely, 2^{31321344190416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31321344190416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46380301946880).

31321344190416 is an abundant number, since it is smaller than the sum of its proper divisors (61439259703344).

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

31321344190416 is a wasteful number, since it uses less digits than its factorization.

31321344190416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117313 (or 117307 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 31321344190416 in words is "thirty-one trillion, three hundred twenty-one billion, three hundred forty-four million, one hundred ninety thousand, four hundred sixteen".