971261620965216 has 216 divisors, whose sum is σ = 3316612264789824. Its totient is φ = 268551600145920.

The previous prime is 971261620965127. The next prime is 971261620965221. The reversal of 971261620965216 is 612569026162179.

971261620965216 is a `hidden beast` number, since 9 + 7 + 1 + 2 + 6 + 16 + 2 + 0 + 96 + 521 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1109646855 + ... + 1110521798.

It is an arithmetic number, because the mean of its divisors is an integer number (15354686411064).

Almost surely, 2^{971261620965216} is an apocalyptic number.

971261620965216 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

971261620965216 is an abundant number, since it is smaller than the sum of its proper divisors (2345350643824608).

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

971261620965216 is a wasteful number, since it uses less digits than its factorization.

971261620965216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220168714 (or 2220168696 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 971261620965216 in words is "nine hundred seventy-one trillion, two hundred sixty-one billion, six hundred twenty million, nine hundred sixty-five thousand, two hundred sixteen".