11632496714496 has 576 divisors, whose sum is σ = 41762680960000. Its totient is φ = 3119732195328.

The previous prime is 11632496714473. The next prime is 11632496714521. The reversal of 11632496714496 is 69441769423611.

It is a happy number.

11632496714496 is a `hidden beast` number, since 1 + 1 + 6 + 32 + 4 + 96 + 71 + 449 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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, 100145220 + ... + 100261308.

Almost surely, 2^{11632496714496} is an apocalyptic number.

11632496714496 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 11632496714496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20881340480000).

11632496714496 is an abundant number, since it is smaller than the sum of its proper divisors (30130184245504).

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

11632496714496 is a wasteful number, since it uses less digits than its factorization.

11632496714496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116249 (or 116229 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The spelling of 11632496714496 in words is "eleven trillion, six hundred thirty-two billion, four hundred ninety-six million, seven hundred fourteen thousand, four hundred ninety-six".