11387004144264 has 256 divisors, whose sum is σ = 38376668160000. Its totient is φ = 3053969630208.

The previous prime is 11387004144239. The next prime is 11387004144317. The reversal of 11387004144264 is 46244140078311.

11387004144264 is a `hidden beast` number, since 1 + 1 + 387 + 0 + 0 + 4 + 1 + 4 + 4 + 264 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9157377 + ... + 10326255.

It is an arithmetic number, because the mean of its divisors is an integer number (149908860000).

Almost surely, 2^{11387004144264} is an apocalyptic number.

11387004144264 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 11387004144264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19188334080000).

11387004144264 is an abundant number, since it is smaller than the sum of its proper divisors (26989664015736).

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

11387004144264 is a wasteful number, since it uses less digits than its factorization.

11387004144264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169297 (or 1169287 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 11387004144264 in words is "eleven trillion, three hundred eighty-seven billion, four million, one hundred forty-four thousand, two hundred sixty-four".