11233643904 has 384 divisors, whose sum is σ = 39219897600. Its totient is φ = 3014848512.

The previous prime is 11233643891. The next prime is 11233643921. The reversal of 11233643904 is 40934633211.

11233643904 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 3 + 643 + 9 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×11233643904² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24054679 + ... + 24055145.

It is an arithmetic number, because the mean of its divisors is an integer number (102135150).

Almost surely, 2^11233643904 is an apocalyptic number.

11233643904 is a gapful number since it is divisible by the number (14) 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 11233643904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19609948800).

11233643904 is an abundant number, since it is smaller than the sum of its proper divisors (27986253696).

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

11233643904 is a wasteful number, since it uses less digits than its factorization.

11233643904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 11233643904 in words is "eleven billion, two hundred thirty-three million, six hundred forty-three thousand, nine hundred four".