114434703957600 has 2304 divisors, whose sum is σ = 485472127795200. Its totient is φ = 25779738378240.

The previous prime is 114434703957499. The next prime is 114434703957611. The reversal of 114434703957600 is 6759307434411.

114434703957600 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 34 + 7 + 0 + 39 + 576 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 21164174097 + ... + 21164179503.

It is an arithmetic number, because the mean of its divisors is an integer number (210708388800).

Almost surely, 2^{114434703957600} is an apocalyptic number.

114434703957600 is a gapful number since it is divisible by the number (10) 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 114434703957600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242736063897600).

114434703957600 is an abundant number, since it is smaller than the sum of its proper divisors (371037423837600).

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

114434703957600 is a wasteful number, since it uses less digits than its factorization.

114434703957600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5614 (or 5595 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 114434703957600 in words is "one hundred fourteen trillion, four hundred thirty-four billion, seven hundred three million, nine hundred fifty-seven thousand, six hundred".