11141385615360 has 4608 divisors, whose sum is σ = 55564272691200. Its totient is φ = 2106910310400.

The previous prime is 11141385615277. The next prime is 11141385615383. The reversal of 11141385615360 is 6351658314111.

11141385615360 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 1 + 38 + 561 + 53 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 156920924125 + ... + 156920924195.

It is an arithmetic number, because the mean of its divisors is an integer number (12058218900).

Almost surely, 2^{11141385615360} is an apocalyptic number.

11141385615360 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 11141385615360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27782136345600).

11141385615360 is an abundant number, since it is smaller than the sum of its proper divisors (44422887075840).

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

11141385615360 is an equidigital number, since it uses as much as digits as its factorization.

11141385615360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 11141385615360 in words is "eleven trillion, one hundred forty-one billion, three hundred eighty-five million, six hundred fifteen thousand, three hundred sixty".