31431314628 has 192 divisors, whose sum is σ = 94401054720. Its totient is φ = 8858553984.

The previous prime is 31431314627. The next prime is 31431314639. The reversal of 31431314628 is 82641313413.

31431314628 is a `hidden beast` number, since 3 + 1 + 4 + 3 + 13 + 14 + 628 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 31431314592 and 31431314601.

It is not an unprimeable number, because it can be changed into a prime (31431314627) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22891750 + ... + 22893122.

It is an arithmetic number, because the mean of its divisors is an integer number (491672160).

Almost surely, 2^31431314628 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 31431314628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47200527360).

31431314628 is an abundant number, since it is smaller than the sum of its proper divisors (62969740092).

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

31431314628 is a wasteful number, since it uses less digits than its factorization.

31431314628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1775 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 31431314628 in words is "thirty-one billion, four hundred thirty-one million, three hundred fourteen thousand, six hundred twenty-eight".