113762841120 has 384 divisors, whose sum is σ = 408046222080. Its totient is φ = 29963602944.

The previous prime is 113762841113. The next prime is 113762841233. The reversal of 113762841120 is 21148267311.

113762841120 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 628 + 4 + 1 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 29041402 + ... + 29045318.

It is an arithmetic number, because the mean of its divisors is an integer number (1062620370).

Almost surely, 2^113762841120 is an apocalyptic number.

113762841120 is a gapful number since it is divisible by the number (10) 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 113762841120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204023111040).

113762841120 is an abundant number, since it is smaller than the sum of its proper divisors (294283380960).

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

113762841120 is an frugal number, since it uses more digits than its factorization.

113762841120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4036 (or 4010 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 113762841120 in words is "one hundred thirteen billion, seven hundred sixty-two million, eight hundred forty-one thousand, one hundred twenty".