114854722334352 has 1600 divisors, whose sum is σ = 453539471616000. Its totient is φ = 27096132648960.

The previous prime is 114854722334267. The next prime is 114854722334369. The reversal of 114854722334352 is 253433227458411.

114854722334352 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 54 + 7 + 2 + 233 + 4 + 352 = 666.

It is a super-2 number, since 2×114854722334352² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 22524947899 + ... + 22524952997.

It is an arithmetic number, because the mean of its divisors is an integer number (283462169760).

Almost surely, 2^{114854722334352} is an apocalyptic number.

114854722334352 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 114854722334352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226769735808000).

114854722334352 is an abundant number, since it is smaller than the sum of its proper divisors (338684749281648).

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

114854722334352 is a wasteful number, since it uses less digits than its factorization.

114854722334352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5426 (or 5411 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 54.

The spelling of 114854722334352 in words is "one hundred fourteen trillion, eight hundred fifty-four billion, seven hundred twenty-two million, three hundred thirty-four thousand, three hundred fifty-two".