31449248768 has 176 divisors, whose sum is σ = 74331057024. Its totient is φ = 13019381760.

The previous prime is 31449248767. The next prime is 31449248783. The reversal of 31449248768 is 86784294413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31449248767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33208871 + ... + 33209817.

Almost surely, 2^31449248768 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 31449248768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37165528512).

31449248768 is an abundant number, since it is smaller than the sum of its proper divisors (42881808256).

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

31449248768 is a wasteful number, since it uses less digits than its factorization.

31449248768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1110 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 56.

The spelling of 31449248768 in words is "thirty-one billion, four hundred forty-nine million, two hundred forty-eight thousand, seven hundred sixty-eight".