114151466052 has 96 divisors (see below), whose sum is σ = 318921039360. Its totient is φ = 35100656640.

The previous prime is 114151466041. The next prime is 114151466087. The reversal of 114151466052 is 250664151411.

114151466052 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 5 + 1 + 46 + 605 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 114151465998 and 114151466016.

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 31 ways as a sum of consecutive naturals, for example, 2196852 + ... + 2248212.

It is an arithmetic number, because the mean of its divisors is an integer number (3322094160).

Almost surely, 2^114151466052 is an apocalyptic number.

114151466052 is a gapful number since it is divisible by the number (12) 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 114151466052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159460519680).

114151466052 is an abundant number, since it is smaller than the sum of its proper divisors (204769573308).

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

114151466052 is a wasteful number, since it uses less digits than its factorization.

114151466052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52970 (or 52962 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 114151466052 in words is "one hundred fourteen billion, one hundred fifty-one million, four hundred sixty-six thousand, fifty-two".