31914321408 has 480 divisors, whose sum is σ = 102953410560. Its totient is φ = 9833840640.

The previous prime is 31914321401. The next prime is 31914321433. The reversal of 31914321408 is 80412341913.

31914321408 is a `hidden beast` number, since 3 + 191 + 43 + 21 + 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 (31914321401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167090593 + ... + 167090783.

It is an arithmetic number, because the mean of its divisors is an integer number (214486272).

Almost surely, 2^31914321408 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 31914321408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51476705280).

31914321408 is an abundant number, since it is smaller than the sum of its proper divisors (71039089152).

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

31914321408 is an equidigital number, since it uses as much as digits as its factorization.

31914321408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 31914321408 in words is "thirty-one billion, nine hundred fourteen million, three hundred twenty-one thousand, four hundred eight".