114465201800 has 24 divisors (see below), whose sum is σ = 266131594650. Its totient is φ = 45786080640.

The previous prime is 114465201793. The next prime is 114465201827. The reversal of 114465201800 is 8102564411.

It can be written as a sum of positive squares in 3 ways, for example, as 49624690756 + 64840511044 = 222766^2 + 254638^2 .

It is a super-2 number, since 2×114465201800² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 286162805 + ... + 286163204.

Almost surely, 2^114465201800 is an apocalyptic number.

114465201800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114465201800 is an abundant number, since it is smaller than the sum of its proper divisors (151666392850).

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

114465201800 is a wasteful number, since it uses less digits than its factorization.

114465201800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572326025 (or 572326016 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The spelling of 114465201800 in words is "one hundred fourteen billion, four hundred sixty-five million, two hundred one thousand, eight hundred".