113781079152 has 960 divisors, whose sum is σ = 401284316160. Its totient is φ = 29727129600.

The previous prime is 113781079151. The next prime is 113781079157. The reversal of 113781079152 is 251970187311.

113781079152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×113781079152² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113781079098 and 113781079107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113781079151) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1173000768 + ... + 1173000864.

It is an arithmetic number, because the mean of its divisors is an integer number (418004496).

Almost surely, 2^113781079152 is an apocalyptic number.

113781079152 is a gapful number since it is divisible by the number (12) 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 113781079152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200642158080).

113781079152 is an abundant number, since it is smaller than the sum of its proper divisors (287503237008).

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

113781079152 is a wasteful number, since it uses less digits than its factorization.

113781079152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 45.

The spelling of 113781079152 in words is "one hundred thirteen billion, seven hundred eighty-one million, seventy-nine thousand, one hundred fifty-two".