31430631432144 has 160 divisors (see below), whose sum is σ = 93808630434816. Its totient is φ = 8882368266240.

The previous prime is 31430631432121. The next prime is 31430631432223. The reversal of 31430631432144 is 44123413603413.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 22363299 + ... + 23727165.

Almost surely, 2^{31430631432144} 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 31430631432144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46904315217408).

31430631432144 is an abundant number, since it is smaller than the sum of its proper divisors (62377999002672).

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

31430631432144 is a wasteful number, since it uses less digits than its factorization.

31430631432144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364633 (or 1364627 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 39.

The spelling of 31430631432144 in words is "thirty-one trillion, four hundred thirty billion, six hundred thirty-one million, four hundred thirty-two thousand, one hundred forty-four".