113541121456 has 60 divisors (see below), whose sum is σ = 256080920040. Its totient is φ = 48626457600.

The previous prime is 113541121423. The next prime is 113541121457. The reversal of 113541121456 is 654121145311.

It is a super-2 number, since 2×113541121456² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113541121457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1087680 + ... + 1187488.

It is an arithmetic number, because the mean of its divisors is an integer number (4268015334).

Almost surely, 2^113541121456 is an apocalyptic number.

113541121456 is a gapful number since it is divisible by the number (16) 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 113541121456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128040460020).

113541121456 is an abundant number, since it is smaller than the sum of its proper divisors (142539798584).

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

113541121456 is a wasteful number, since it uses less digits than its factorization.

113541121456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101282 (or 101269 counting only the distinct ones).

The product of its digits is 14400, while the sum is 34.

Adding to 113541121456 its reverse (654121145311), we get a palindrome (767662266767).

The spelling of 113541121456 in words is "one hundred thirteen billion, five hundred forty-one million, one hundred twenty-one thousand, four hundred fifty-six".