11496771969696 has 960 divisors, whose sum is σ = 38165590374912. Its totient is φ = 3372346441728.

The previous prime is 11496771969673. The next prime is 11496771969719. The reversal of 11496771969696 is 69696917769411.

11496771969696 is a `hidden beast` number, since 1 + 1 + 496 + 7 + 7 + 1 + 9 + 69 + 69 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (11496771969673) and next prime (11496771969719).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 10292543730 + ... + 10292544846.

Almost surely, 2^{11496771969696} is an apocalyptic number.

11496771969696 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 11496771969696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19082795187456).

11496771969696 is an abundant number, since it is smaller than the sum of its proper divisors (26668818405216).

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

11496771969696 is a wasteful number, since it uses less digits than its factorization.

11496771969696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1346 counting only the distinct ones).

The product of its digits is 1666598976, while the sum is 81.

The spelling of 11496771969696 in words is "eleven trillion, four hundred ninety-six billion, seven hundred seventy-one million, nine hundred sixty-nine thousand, six hundred ninety-six".