964149211921 has 45 divisors (see below), whose sum is σ = 1166584801083. Its totient is φ = 796761861840.

The previous prime is 964149211913. The next prime is 964149211939. The reversal of 964149211921 is 129112941469.

The square root of 964149211921 is 981911.

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

964149211921 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 505576459521 + 458572752400 = 711039^2 + 677180^2 .

It is not a de Polignac number, because 964149211921 - 2³ = 964149211913 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (964149211951) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1395295186 + ... + 1395295876.

Almost surely, 2^964149211921 is an apocalyptic number.

964149211921 is the 981911-st square number.

964149211921 is the 490956-th centered octagonal number.

It is an amenable number.

964149211921 is a deficient number, since it is larger than the sum of its proper divisors (202435589162).

964149211921 is an frugal number, since it uses more digits than its factorization.

964149211921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468 (or 727 counting only the distinct ones).

The product of its digits is 279936, while the sum is 49.

Multiplying 964149211921 by its sum of digits (49), we get a square (47243311384129 = 6873377²).

964149211921 divided by its sum of digits (49) gives a square (19676514529 = 140273²).

The spelling of 964149211921 in words is "nine hundred sixty-four billion, one hundred forty-nine million, two hundred eleven thousand, nine hundred twenty-one".