114011820 has 192 divisors, whose sum is σ = 388080000. Its totient is φ = 27620352.

The previous prime is 114011819. The next prime is 114011839. The reversal of 114011820 is 28110411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 114011793 and 114011802.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 765106 + ... + 765254.

It is an arithmetic number, because the mean of its divisors is an integer number (2021250).

Almost surely, 2^114011820 is an apocalyptic number.

114011820 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 114011820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194040000).

114011820 is an abundant number, since it is smaller than the sum of its proper divisors (274068180).

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

114011820 is a wasteful number, since it uses less digits than its factorization.

114011820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 114011820 is about 10677.6317598988. The cubic root of 114011820 is about 484.8975161644.

The spelling of 114011820 in words is "one hundred fourteen million, eleven thousand, eight hundred twenty".