31341311546304 has 224 divisors, whose sum is σ = 84192341241600. Its totient is φ = 10288329891840.

The previous prime is 31341311546239. The next prime is 31341311546351. The reversal of 31341311546304 is 40364511314313.

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, 4589440362 + ... + 4589447190.

Almost surely, 2^{31341311546304} 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 31341311546304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42096170620800).

31341311546304 is an abundant number, since it is smaller than the sum of its proper divisors (52851029695296).

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

31341311546304 is a wasteful number, since it uses less digits than its factorization.

31341311546304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7971 (or 7961 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 31341311546304 in words is "thirty-one trillion, three hundred forty-one billion, three hundred eleven million, five hundred forty-six thousand, three hundred four".