11363852304 has 240 divisors, whose sum is σ = 37908049920. Its totient is φ = 3109155840.

The previous prime is 11363852303. The next prime is 11363852309. The reversal of 11363852304 is 40325836311.

11363852304 is a `hidden beast` number, since 1 + 13 + 638 + 5 + 2 + 3 + 0 + 4 = 666.

It is a super-2 number, since 2×11363852304² (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 not an unprimeable number, because it can be changed into a prime (11363852303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3710934 + ... + 3713994.

It is an arithmetic number, because the mean of its divisors is an integer number (157950208).

Almost surely, 2^11363852304 is an apocalyptic number.

11363852304 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 11363852304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18954024960).

11363852304 is an abundant number, since it is smaller than the sum of its proper divisors (26544197616).

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

11363852304 is a wasteful number, since it uses less digits than its factorization.

11363852304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3238 (or 3229 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 11363852304 in words is "eleven billion, three hundred sixty-three million, eight hundred fifty-two thousand, three hundred four".