971910706816 has 512 divisors, whose sum is σ = 2507682240000. Its totient is φ = 373261271040.

The previous prime is 971910706769. The next prime is 971910706829. The reversal of 971910706816 is 618607019179.

It is a super-2 number, since 2×971910706816² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1796507506 + ... + 1796508046.

It is an arithmetic number, because the mean of its divisors is an integer number (4897816875).

Almost surely, 2^971910706816 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 971910706816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253841120000).

971910706816 is an abundant number, since it is smaller than the sum of its proper divisors (1535771533184).

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

971910706816 is a wasteful number, since it uses less digits than its factorization.

971910706816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 55.

The spelling of 971910706816 in words is "nine hundred seventy-one billion, nine hundred ten million, seven hundred six thousand, eight hundred sixteen".