11392859142144 has 1152 divisors, whose sum is σ = 37885194547200. Its totient is φ = 3275929681920.

The previous prime is 11392859142131. The next prime is 11392859142151. The reversal of 11392859142144 is 44124195829311.

It is a happy number.

11392859142144 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 2 + 8 + 591 + 4 + 2 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48896391052 + ... + 48896391284.

It is an arithmetic number, because the mean of its divisors is an integer number (32886453600).

Almost surely, 2^{11392859142144} 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 11392859142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18942597273600).

11392859142144 is an abundant number, since it is smaller than the sum of its proper divisors (26492335405056).

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

11392859142144 is a wasteful number, since it uses less digits than its factorization.

11392859142144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 508 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The spelling of 11392859142144 in words is "eleven trillion, three hundred ninety-two billion, eight hundred fifty-nine million, one hundred forty-two thousand, one hundred forty-four".