31014897408 has 360 divisors, whose sum is σ = 101501769600. Its totient is φ = 9341429760.

The previous prime is 31014897373. The next prime is 31014897451. The reversal of 31014897408 is 80479841013.

It is a happy number.

31014897408 is a `hidden beast` number, since 3 + 10 + 148 + 97 + 408 = 666.

It is a super-2 number, since 2×31014897408² (a number of 22 digits) contains 22 as substring.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 51777493 + ... + 51778091.

It is an arithmetic number, because the mean of its divisors is an integer number (281949360).

Almost surely, 2^31014897408 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 31014897408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50750884800).

31014897408 is an abundant number, since it is smaller than the sum of its proper divisors (70486872192).

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

31014897408 is a wasteful number, since it uses less digits than its factorization.

31014897408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 31014897408 in words is "thirty-one billion, fourteen million, eight hundred ninety-seven thousand, four hundred eight".