31431489177408 has 112 divisors (see below), whose sum is σ = 84328926144960. Its totient is φ = 10330302173184.

The previous prime is 31431489177401. The next prime is 31431489177449. The reversal of 31431489177408 is 80477198413413.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31431489177401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43215091 + ... + 43936397.

It is an arithmetic number, because the mean of its divisors is an integer number (752936840580).

Almost surely, 2^{31431489177408} 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 31431489177408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42164463072480).

31431489177408 is an abundant number, since it is smaller than the sum of its proper divisors (52897436967552).

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

31431489177408 is a wasteful number, since it uses less digits than its factorization.

31431489177408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724504 (or 724494 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 60.

The spelling of 31431489177408 in words is "thirty-one trillion, four hundred thirty-one billion, four hundred eighty-nine million, one hundred seventy-seven thousand, four hundred eight".