31431626688 has 336 divisors, whose sum is σ = 106630159104. Its totient is φ = 7938293760.

The previous prime is 31431626683. The next prime is 31431626701. The reversal of 31431626688 is 88662613413.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31431626683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20238520 + ... + 20240072.

It is an arithmetic number, because the mean of its divisors is an integer number (317351664).

Almost surely, 2^31431626688 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 31431626688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53315079552).

31431626688 is an abundant number, since it is smaller than the sum of its proper divisors (75198532416).

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

31431626688 is a wasteful number, since it uses less digits than its factorization.

31431626688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660 (or 1613 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The spelling of 31431626688 in words is "thirty-one billion, four hundred thirty-one million, six hundred twenty-six thousand, six hundred eighty-eight".