114338867760 has 1120 divisors, whose sum is σ = 459030620160. Its totient is φ = 26260236288.

The previous prime is 114338867759. The next prime is 114338867777. The reversal of 114338867760 is 67768833411.

114338867760 is a `hidden beast` number, since 1 + 1 + 433 + 8 + 86 + 77 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 114338867697 and 114338867706.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1377576679 + ... + 1377576761.

It is an arithmetic number, because the mean of its divisors is an integer number (409848768).

Almost surely, 2^114338867760 is an apocalyptic number.

114338867760 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 114338867760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229515310080).

114338867760 is an abundant number, since it is smaller than the sum of its proper divisors (344691752400).

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

114338867760 is a wasteful number, since it uses less digits than its factorization.

114338867760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 114338867760 in words is "one hundred fourteen billion, three hundred thirty-eight million, eight hundred sixty-seven thousand, seven hundred sixty".