31922913222144 has 960 divisors, whose sum is σ = 112900134821760. Its totient is φ = 8476006809600.

The previous prime is 31922913222131. The next prime is 31922913222149. The reversal of 31922913222144 is 44122231922913.

31922913222144 is a `hidden beast` number, since 3 + 1 + 9 + 22 + 91 + 322 + 214 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 31922913222144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31922913222149) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31513240582 + ... + 31513241594.

It is an arithmetic number, because the mean of its divisors is an integer number (117604307106).

Almost surely, 2^{31922913222144} is an apocalyptic number.

31922913222144 is a gapful number since it is divisible by the number (34) 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 31922913222144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56450067410880).

31922913222144 is an abundant number, since it is smaller than the sum of its proper divisors (80977221599616).

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

31922913222144 is a wasteful number, since it uses less digits than its factorization.

31922913222144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1731 (or 1712 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 31922913222144 in words is "thirty-one trillion, nine hundred twenty-two billion, nine hundred thirteen million, two hundred twenty-two thousand, one hundred forty-four".