11385874368 has 504 divisors, whose sum is σ = 38565246720. Its totient is φ = 3182699520.

The previous prime is 11385874361. The next prime is 11385874369. The reversal of 11385874368 is 86347858311.

It is a happy number.

11385874368 is a `hidden beast` number, since 1 + 13 + 8 + 587 + 43 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11385874361) 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, 144124953 + ... + 144125031.

Almost surely, 2^11385874368 is an apocalyptic number.

11385874368 is a gapful number since it is divisible by the number (18) 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 11385874368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19282623360).

11385874368 is an abundant number, since it is smaller than the sum of its proper divisors (27179372352).

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

11385874368 is a wasteful number, since it uses less digits than its factorization.

11385874368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 161 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 11385874368 in words is "eleven billion, three hundred eighty-five million, eight hundred seventy-four thousand, three hundred sixty-eight".