31231073664 has 768 divisors, whose sum is σ = 115729689600. Its totient is φ = 8101969920.

The previous prime is 31231073647. The next prime is 31231073689. The reversal of 31231073664 is 46637013213.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 761733484 + ... + 761733524.

It is an arithmetic number, because the mean of its divisors is an integer number (150689700).

Almost surely, 2^31231073664 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 31231073664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57864844800).

31231073664 is an abundant number, since it is smaller than the sum of its proper divisors (84498615936).

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

31231073664 is a wasteful number, since it uses less digits than its factorization.

31231073664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

Adding to 31231073664 its reverse (46637013213), we get a palindrome (77868086877).

The spelling of 31231073664 in words is "thirty-one billion, two hundred thirty-one million, seventy-three thousand, six hundred sixty-four".