31463313408 has 364 divisors, whose sum is σ = 97012139868. Its totient is φ = 10192158720.

The previous prime is 31463313407. The next prime is 31463313421. The reversal of 31463313408 is 80431336413.

31463313408 is a `hidden beast` number, since 3 + 1 + 4 + 633 + 13 + 4 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17247043584 + 14216269824 = 131328^2 + 119232^2 .

It is a super-2 number, since 2×31463313408² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (31463313407) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 122425216 + ... + 122425472.

Almost surely, 2^31463313408 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 31463313408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48506069934).

31463313408 is an abundant number, since it is smaller than the sum of its proper divisors (65548826460).

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

31463313408 is an frugal number, since it uses more digits than its factorization.

31463313408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 31463313408 in words is "thirty-one billion, four hundred sixty-three million, three hundred thirteen thousand, four hundred eight".