114151761828 has 216 divisors, whose sum is σ = 316230078528. Its totient is φ = 34702297344.

The previous prime is 114151761809. The next prime is 114151761847. The reversal of 114151761828 is 828167151411.

It is a happy number.

114151761828 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 5 + 1 + 7 + 618 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (114151761809) and next prime (114151761847).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 287535726 + ... + 287536122.

Almost surely, 2^114151761828 is an apocalyptic number.

114151761828 is a gapful number since it is divisible by the number (18) 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 114151761828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158115039264).

114151761828 is an abundant number, since it is smaller than the sum of its proper divisors (202078316700).

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

114151761828 is a wasteful number, since it uses less digits than its factorization.

114151761828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 865 counting only the distinct ones).

The product of its digits is 107520, while the sum is 45.

The spelling of 114151761828 in words is "one hundred fourteen billion, one hundred fifty-one million, seven hundred sixty-one thousand, eight hundred twenty-eight".