11434965696 has 448 divisors, whose sum is σ = 42469125120. Its totient is φ = 2967321600.

The previous prime is 11434965671. The next prime is 11434965701. The reversal of 11434965696 is 69656943411.

It is a happy number.

11434965696 is a `hidden beast` number, since 1 + 14 + 3 + 496 + 56 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10777006 + ... + 10778066.

Almost surely, 2^11434965696 is an apocalyptic number.

11434965696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11434965696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21234562560).

11434965696 is an abundant number, since it is smaller than the sum of its proper divisors (31034159424).

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

11434965696 is an equidigital number, since it uses as much as digits as its factorization.

11434965696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1084 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The spelling of 11434965696 in words is "eleven billion, four hundred thirty-four million, nine hundred sixty-five thousand, six hundred ninety-six".