11863345536 has 576 divisors, whose sum is σ = 42706110720. Its totient is φ = 3210679296.

The previous prime is 11863345489. The next prime is 11863345537. The reversal of 11863345536 is 63554336811.

11863345536 is a `hidden beast` number, since 1 + 1 + 8 + 63 + 34 + 553 + 6 = 666.

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

It is a super-2 number, since 2×11863345536² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11863345491 and 11863345500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11863345537) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 115178061 + ... + 115178163.

Almost surely, 2^11863345536 is an apocalyptic number.

11863345536 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 11863345536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21353055360).

11863345536 is an abundant number, since it is smaller than the sum of its proper divisors (30842765184).

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

11863345536 is an equidigital number, since it uses as much as digits as its factorization.

11863345536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 138 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The spelling of 11863345536 in words is "eleven billion, eight hundred sixty-three million, three hundred forty-five thousand, five hundred thirty-six".