11456784696960 has 96 divisors (see below), whose sum is σ = 39561709676580. Its totient is φ = 3055142584320.

The previous prime is 11456784696941. The next prime is 11456784696961. The reversal of 11456784696960 is 6969648765411.

It is a happy number.

11456784696960 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 6 + 78 + 469 + 6 + 96 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11045944719936 + 410839977024 = 3323544^2 + 640968^2 .

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 (72).

It is not an unprimeable number, because it can be changed into a prime (11456784696961) 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, 994506801 + ... + 994518320.

Almost surely, 2^{11456784696960} is an apocalyptic number.

11456784696960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11456784696960 is an abundant number, since it is smaller than the sum of its proper divisors (28104924979620).

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

11456784696960 is a wasteful number, since it uses less digits than its factorization.

11456784696960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1989025146 (or 1989025131 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 11456784696960 in words is "eleven trillion, four hundred fifty-six billion, seven hundred eighty-four million, six hundred ninety-six thousand, nine hundred sixty".