114206599080 has 1536 divisors, whose sum is σ = 498547353600. Its totient is φ = 23075684352.

The previous prime is 114206599049. The next prime is 114206599093. The reversal of 114206599080 is 80995602411.

114206599080 is a `hidden beast` number, since 1 + 1 + 420 + 65 + 9 + 90 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1564473924 + ... + 1564473996.

It is an arithmetic number, because the mean of its divisors is an integer number (324575100).

Almost surely, 2^114206599080 is an apocalyptic number.

114206599080 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 114206599080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249273676800).

114206599080 is an abundant number, since it is smaller than the sum of its proper divisors (384340754520).

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

114206599080 is a wasteful number, since it uses less digits than its factorization.

114206599080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 114206599080 in words is "one hundred fourteen billion, two hundred six million, five hundred ninety-nine thousand, eighty".