914968790496 has 72 divisors (see below), whose sum is σ = 2634878544480. Its totient is φ = 301128961536.

The previous prime is 914968790467. The next prime is 914968790497. The reversal of 914968790496 is 694097869419.

914968790496 is a `hidden beast` number, since 9 + 1 + 4 + 9 + 68 + 79 + 0 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (914968790497) 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 11 ways as a sum of consecutive naturals, for example, 20084685 + ... + 20130188.

It is an arithmetic number, because the mean of its divisors is an integer number (36595535340).

Almost surely, 2^914968790496 is an apocalyptic number.

914968790496 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

914968790496 is an abundant number, since it is smaller than the sum of its proper divisors (1719909753984).

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

914968790496 is a wasteful number, since it uses less digits than its factorization.

914968790496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40214968 (or 40214957 counting only the distinct ones).

The product of its (nonzero) digits is 211631616, while the sum is 72.

The spelling of 914968790496 in words is "nine hundred fourteen billion, nine hundred sixty-eight million, seven hundred ninety thousand, four hundred ninety-six".