964164726144 has 320 divisors, whose sum is σ = 2955518992800. Its totient is φ = 311786496000.

The previous prime is 964164726143. The next prime is 964164726197. The reversal of 964164726144 is 441627461469.

964164726144 is a `hidden beast` number, since 9 + 6 + 4 + 16 + 4 + 7 + 2 + 614 + 4 = 666.

It is a super-2 number, since 2×964164726144² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (964164726143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 137714644 + ... + 137721644.

Almost surely, 2^964164726144 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 964164726144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477759496400).

964164726144 is an abundant number, since it is smaller than the sum of its proper divisors (1991354266656).

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

964164726144 is a wasteful number, since it uses less digits than its factorization.

964164726144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7423 (or 7402 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 964164726144 in words is "nine hundred sixty-four billion, one hundred sixty-four million, seven hundred twenty-six thousand, one hundred forty-four".