31473014664 has 384 divisors, whose sum is σ = 105070694400. Its totient is φ = 7666513920.

The previous prime is 31473014663. The next prime is 31473014669. The reversal of 31473014664 is 46641037413.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (31473014663) 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 95 ways as a sum of consecutive naturals, for example, 22116657 + ... + 22118079.

It is an arithmetic number, because the mean of its divisors is an integer number (273621600).

Almost surely, 2^31473014664 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 31473014664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52535347200).

31473014664 is an abundant number, since it is smaller than the sum of its proper divisors (73597679736).

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

31473014664 is a wasteful number, since it uses less digits than its factorization.

31473014664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 31473014664 in words is "thirty-one billion, four hundred seventy-three million, fourteen thousand, six hundred sixty-four".