11134603238400 has 396 divisors, whose sum is σ = 39878664267312. Its totient is φ = 2968369889280.

The previous prime is 11134603238399. The next prime is 11134603238453. The reversal of 11134603238400 is 483230643111.

11134603238400 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 4 + 603 + 2 + 3 + 8 + 40 + 0 = 666.

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

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1463727397 + ... + 1463735003.

Almost surely, 2^{11134603238400} is an apocalyptic number.

11134603238400 is a gapful number since it is divisible by the number (10) 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 11134603238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19939332133656).

11134603238400 is an abundant number, since it is smaller than the sum of its proper divisors (28744061028912).

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

11134603238400 is a wasteful number, since it uses less digits than its factorization.

11134603238400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13996 (or 13970 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 11134603238400 in words is "eleven trillion, one hundred thirty-four billion, six hundred three million, two hundred thirty-eight thousand, four hundred".