971127469764 has 243 divisors, whose sum is σ = 2651131433223. Its totient is φ = 299705370624.

The previous prime is 971127469759. The next prime is 971127469783. The reversal of 971127469764 is 467964721179.

The square root of 971127469764 is 985458.

It is a perfect power (a square), and thus also a powerful number.

971127469764 is a `hidden beast` number, since 97 + 1 + 1 + 27 + 469 + 7 + 64 = 666.

971127469764 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 32631532164 + 938495937600 = 180642^2 + 968760^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5031748452 + ... + 5031748644.

Almost surely, 2^971127469764 is an apocalyptic number.

971127469764 is the 985458-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 971127469764

971127469764 is an abundant number, since it is smaller than the sum of its proper divisors (1680003963459).

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

971127469764 is a wasteful number, since it uses less digits than its factorization.

971127469764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 258 counting only the distinct ones).

The product of its digits is 32006016, while the sum is 63.

The spelling of 971127469764 in words is "nine hundred seventy-one billion, one hundred twenty-seven million, four hundred sixty-nine thousand, seven hundred sixty-four".