971744702143488 has 2816 divisors, whose sum is σ = 3620660340326400. Its totient is φ = 224202011443200.

The previous prime is 971744702143477. The next prime is 971744702143489. The reversal of 971744702143488 is 884341207447179.

It is a super-2 number, since 2×971744702143488² (a number of 31 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (971744702143489) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1158217761373 + ... + 1158217762211.

Almost surely, 2^{971744702143488} 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 971744702143488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810330170163200).

971744702143488 is an abundant number, since it is smaller than the sum of its proper divisors (2648915638182912).

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

971744702143488 is a wasteful number, since it uses less digits than its factorization.

971744702143488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 303464448, while the sum is 69.

The spelling of 971744702143488 in words is "nine hundred seventy-one trillion, seven hundred forty-four billion, seven hundred two million, one hundred forty-three thousand, four hundred eighty-eight".