31771245408 has 192 divisors, whose sum is σ = 100075917312. Its totient is φ = 8628871680.

The previous prime is 31771245383. The next prime is 31771245419. The reversal of 31771245408 is 80454217713.

It is a super-2 number, since 2×31771245408² (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 31771245408.

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, 2513023 + ... + 2525633.

It is an arithmetic number, because the mean of its divisors is an integer number (521228736).

Almost surely, 2^31771245408 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 31771245408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50037958656).

31771245408 is an abundant number, since it is smaller than the sum of its proper divisors (68304671904).

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

31771245408 is a wasteful number, since it uses less digits than its factorization.

31771245408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12817 (or 12809 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 31771245408 in words is "thirty-one billion, seven hundred seventy-one million, two hundred forty-five thousand, four hundred eight".