964159031056 has 135 divisors (see below), whose sum is σ = 2117159282847. Its totient is φ = 425130351360.

The previous prime is 964159031051. The next prime is 964159031111. The reversal of 964159031056 is 650130951469.

The square root of 964159031056 is 981916.

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

It can be written as a sum of positive squares in 4 ways, for example, as 331154211600 + 633004819456 = 575460^2 + 795616^2 .

It is a super-3 number, since 3×964159031056³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (964159031051) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1174371126 + ... + 1174371946.

Almost surely, 2^964159031056 is an apocalyptic number.

964159031056 is the 981916-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 964159031056

964159031056 is an abundant number, since it is smaller than the sum of its proper divisors (1153000251791).

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

964159031056 is an equidigital number, since it uses as much as digits as its factorization.

964159031056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1722 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 49.

Multiplying 964159031056 by its sum of digits (49), we get a square (47243792521744 = 6873412²).

The spelling of 964159031056 in words is "nine hundred sixty-four billion, one hundred fifty-nine million, thirty-one thousand, fifty-six".