11854088064 has 384 divisors, whose sum is σ = 42585816000. Its totient is φ = 3081535488.

The previous prime is 11854088041. The next prime is 11854088069. The reversal of 11854088064 is 46088045811.

11854088064 is a `hidden beast` number, since 1 + 185 + 408 + 8 + 0 + 64 = 666.

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11854088069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7651962 + ... + 7653510.

Almost surely, 2^11854088064 is an apocalyptic number.

11854088064 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 11854088064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21292908000).

11854088064 is an abundant number, since it is smaller than the sum of its proper divisors (30731727936).

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

11854088064 is a wasteful number, since it uses less digits than its factorization.

11854088064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 11854088064 in words is "eleven billion, eight hundred fifty-four million, eighty-eight thousand, sixty-four".