114223037760 has 560 divisors, whose sum is σ = 452693379600. Its totient is φ = 27144585216.

The previous prime is 114223037743. The next prime is 114223037771. The reversal of 114223037760 is 67730322411.

114223037760 is a `hidden beast` number, since 1 + 1 + 4 + 223 + 0 + 377 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 971942976 + 113251094784 = 31176^2 + 336528^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9765996 + ... + 9777684.

It is an arithmetic number, because the mean of its divisors is an integer number (808381035).

Almost surely, 2^114223037760 is an apocalyptic number.

114223037760 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 114223037760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226346689800).

114223037760 is an abundant number, since it is smaller than the sum of its proper divisors (338470341840).

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

114223037760 is a wasteful number, since it uses less digits than its factorization.

114223037760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11760 (or 11741 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 114223037760 in words is "one hundred fourteen billion, two hundred twenty-three million, thirty-seven thousand, seven hundred sixty".