1961814456 has 96 divisors (see below), whose sum is σ = 6213567360. Its totient is φ = 547477056.

The previous prime is 1961814431. The next prime is 1961814457. The reversal of 1961814456 is 6544181691.

1961814456 is a `hidden beast` number, since 19 + 6 + 181 + 4 + 456 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1961814457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23590 + ... + 66933.

It is an arithmetic number, because the mean of its divisors is an integer number (64724660).

Almost surely, 2^1961814456 is an apocalyptic number.

It is an amenable number.

1961814456 is an abundant number, since it is smaller than the sum of its proper divisors (4251752904).

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

1961814456 is a wasteful number, since it uses less digits than its factorization.

1961814456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90585 (or 90578 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 1961814456 is about 44292.3746936197. The cubic root of 1961814456 is about 1251.8510082751.

The spelling of 1961814456 in words is "one billion, nine hundred sixty-one million, eight hundred fourteen thousand, four hundred fifty-six".