113461287768 has 96 divisors (see below), whose sum is σ = 311820294240. Its totient is φ = 37264043520.

The previous prime is 113461287763. The next prime is 113461287773. The reversal of 113461287768 is 867782164311.

113461287768 is a `hidden beast` number, since 1 + 13 + 4 + 612 + 8 + 7 + 7 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (113461287763) and next prime (113461287773).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113461287763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5355805 + ... + 5376947.

It is an arithmetic number, because the mean of its divisors is an integer number (3248128065).

Almost surely, 2^113461287768 is an apocalyptic number.

113461287768 is a gapful number since it is divisible by the number (18) 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 113461287768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155910147120).

113461287768 is an abundant number, since it is smaller than the sum of its proper divisors (198359006472).

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

113461287768 is a wasteful number, since it uses less digits than its factorization.

113461287768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22249 (or 22242 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The spelling of 113461287768 in words is "one hundred thirteen billion, four hundred sixty-one million, two hundred eighty-seven thousand, seven hundred sixty-eight".