1113839346144 has 384 divisors, whose sum is σ = 3525253788672. Its totient is φ = 301265879040.

The previous prime is 1113839346119. The next prime is 1113839346209. The reversal of 1113839346144 is 4416439383111.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1113839346093 and 1113839346102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 296153224 + ... + 296156984.

It is an arithmetic number, because the mean of its divisors is an integer number (9180348408).

Almost surely, 2^{1113839346144} is an apocalyptic number.

1113839346144 is a gapful number since it is divisible by the number (14) 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 1113839346144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762626894336).

1113839346144 is an abundant number, since it is smaller than the sum of its proper divisors (2411414442528).

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

1113839346144 is a wasteful number, since it uses less digits than its factorization.

1113839346144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4138 (or 4130 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The spelling of 1113839346144 in words is "one trillion, one hundred thirteen billion, eight hundred thirty-nine million, three hundred forty-six thousand, one hundred forty-four".