11543632704 has 280 divisors, whose sum is σ = 36246450240. Its totient is φ = 3622496256.

The previous prime is 11543632703. The next prime is 11543632717. The reversal of 11543632704 is 40723634511.

11543632704 is a `hidden beast` number, since 1 + 15 + 4 + 3 + 632 + 7 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11543632703) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22949317 + ... + 22949819.

It is an arithmetic number, because the mean of its divisors is an integer number (129451608).

Almost surely, 2^11543632704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11543632704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18123225120).

11543632704 is an abundant number, since it is smaller than the sum of its proper divisors (24702817536).

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

11543632704 is a wasteful number, since it uses less digits than its factorization.

11543632704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 11543632704 in words is "eleven billion, five hundred forty-three million, six hundred thirty-two thousand, seven hundred four".