113148841344 has 1024 divisors, whose sum is σ = 417374208000. Its totient is φ = 26276659200.

The previous prime is 113148841331. The next prime is 113148841361. The reversal of 113148841344 is 443148841311.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 113148841296 and 113148841305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1271335252 + ... + 1271335340.

It is an arithmetic number, because the mean of its divisors is an integer number (407592000).

Almost surely, 2^113148841344 is an apocalyptic number.

113148841344 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 113148841344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208687104000).

113148841344 is an abundant number, since it is smaller than the sum of its proper divisors (304225366656).

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

113148841344 is a wasteful number, since it uses less digits than its factorization.

113148841344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 235 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The spelling of 113148841344 in words is "one hundred thirteen billion, one hundred forty-eight million, eight hundred forty-one thousand, three hundred forty-four".