11124374768640 has 704 divisors, whose sum is σ = 45265045708800. Its totient is φ = 2538026237952.

The previous prime is 11124374768603. The next prime is 11124374768641. The reversal of 11124374768640 is 4686747342111.

11124374768640 is a `hidden beast` number, since 1 + 1 + 1 + 24 + 37 + 476 + 86 + 40 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11124374768641) 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 63 ways as a sum of consecutive naturals, for example, 538987441 + ... + 539008079.

Almost surely, 2^{11124374768640} is an apocalyptic number.

11124374768640 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 11124374768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22632522854400).

11124374768640 is an abundant number, since it is smaller than the sum of its proper divisors (34140670940160).

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

11124374768640 is a wasteful number, since it uses less digits than its factorization.

11124374768640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21237 (or 21213 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 11124374768640 in words is "eleven trillion, one hundred twenty-four billion, three hundred seventy-four million, seven hundred sixty-eight thousand, six hundred forty".