1964253312 has 96 divisors (see below), whose sum is σ = 6459847680. Its totient is φ = 561212928.

The previous prime is 1964253293. The next prime is 1964253371. The reversal of 1964253312 is 2133524691.

1964253312 is a `hidden beast` number, since 1 + 9 + 642 + 5 + 3 + 3 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113728 + ... + 129855.

It is an arithmetic number, because the mean of its divisors is an integer number (67290080).

Almost surely, 2^1964253312 is an apocalyptic number.

1964253312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1964253312 is an abundant number, since it is smaller than the sum of its proper divisors (4495594368).

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

1964253312 is a wasteful number, since it uses less digits than its factorization.

1964253312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243610 (or 243595 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 1964253312 is about 44319.8974728056. The cubic root of 1964253312 is about 1252.3695452593.

The spelling of 1964253312 in words is "one billion, nine hundred sixty-four million, two hundred fifty-three thousand, three hundred twelve".