11139929782344 has 576 divisors, whose sum is σ = 35283704976000. Its totient is φ = 3145098700800.

The previous prime is 11139929782309. The next prime is 11139929782439. The reversal of 11139929782344 is 44328792993111.

11139929782344 is a `hidden beast` number, since 1 + 1 + 1 + 399 + 2 + 9 + 7 + 8 + 234 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12559108669 + ... + 12559109555.

It is an arithmetic number, because the mean of its divisors is an integer number (61256432250).

Almost surely, 2^{11139929782344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11139929782344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17641852488000).

11139929782344 is an abundant number, since it is smaller than the sum of its proper divisors (24143775193656).

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

11139929782344 is a wasteful number, since it uses less digits than its factorization.

11139929782344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 1532 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The spelling of 11139929782344 in words is "eleven trillion, one hundred thirty-nine billion, nine hundred twenty-nine million, seven hundred eighty-two thousand, three hundred forty-four".