1963665144 has 48 divisors (see below), whose sum is σ = 6078012720. Its totient is φ = 561047040.

The previous prime is 1963665107. The next prime is 1963665149. The reversal of 1963665144 is 4415663691.

1963665144 is a `hidden beast` number, since 1 + 9 + 636 + 6 + 5 + 1 + 4 + 4 = 666.

1963665144 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1963665144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1963665149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1947577 + ... + 1948584.

It is an arithmetic number, because the mean of its divisors is an integer number (126625265).

Almost surely, 2^1963665144 is an apocalyptic number.

1963665144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1963665144 is an abundant number, since it is smaller than the sum of its proper divisors (4114347576).

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

1963665144 is a wasteful number, since it uses less digits than its factorization.

1963665144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3896180 (or 3896173 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 1963665144 is about 44313.2614913414. The cubic root of 1963665144 is about 1252.2445313044.

The spelling of 1963665144 in words is "one billion, nine hundred sixty-three million, six hundred sixty-five thousand, one hundred forty-four".