31214481408 has 312 divisors, whose sum is σ = 102039677376. Its totient is φ = 9455616000.

The previous prime is 31214481407. The next prime is 31214481449. The reversal of 31214481408 is 80418441213.

It is a happy number.

31214481408 is a `hidden beast` number, since 31 + 2 + 144 + 81 + 408 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31214481407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10947183 + ... + 10950033.

It is an arithmetic number, because the mean of its divisors is an integer number (327050248).

Almost surely, 2^31214481408 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 31214481408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51019838688).

31214481408 is an abundant number, since it is smaller than the sum of its proper divisors (70825195968).

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

31214481408 is an equidigital number, since it uses as much as digits as its factorization.

31214481408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2901 (or 2867 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 31214481408 in words is "thirty-one billion, two hundred fourteen million, four hundred eighty-one thousand, four hundred eight".