31145361408 has 512 divisors, whose sum is σ = 108714700800. Its totient is φ = 8627945472.

The previous prime is 31145361383. The next prime is 31145361419. The reversal of 31145361408 is 80416354113.

31145361408 is a `hidden beast` number, since 3 + 114 + 536 + 1 + 4 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

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

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, 291078091 + ... + 291078197.

It is an arithmetic number, because the mean of its divisors is an integer number (212333400).

Almost surely, 2^31145361408 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 31145361408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54357350400).

31145361408 is an abundant number, since it is smaller than the sum of its proper divisors (77569339392).

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

31145361408 is an equidigital number, since it uses as much as digits as its factorization.

31145361408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 31145361408 in words is "thirty-one billion, one hundred forty-five million, three hundred sixty-one thousand, four hundred eight".