114801819 has 32 divisors (see below), whose sum is σ = 176674560. Its totient is φ = 65577600.

The previous prime is 114801793. The next prime is 114801821. The reversal of 114801819 is 918108411.

It is not a de Polignac number, because 114801819 - 2⁸ = 114801563 is a prime.

It is a super-2 number, since 2×114801819² = 26358915291417522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 114801819.

It is not an unprimeable number, because it can be changed into a prime (114801839) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173349 + ... + 174009.

It is an arithmetic number, because the mean of its divisors is an integer number (5521080).

Almost surely, 2^114801819 is an apocalyptic number.

114801819 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

114801819 is a deficient number, since it is larger than the sum of its proper divisors (61872741).

114801819 is a wasteful number, since it uses less digits than its factorization.

114801819 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971.

The product of its (nonzero) digits is 2304, while the sum is 33.

The square root of 114801819 is about 10714.5610736045. The cubic root of 114801819 is about 486.0149066538.

The spelling of 114801819 in words is "one hundred fourteen million, eight hundred one thousand, eight hundred nineteen".