114463245600 has 432 divisors, whose sum is σ = 442026958464. Its totient is φ = 27641088000.

The previous prime is 114463245583. The next prime is 114463245661. The reversal of 114463245600 is 6542364411.

114463245600 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 6 + 3 + 2 + 45 + 600 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 21460534 + ... + 21465866.

It is an arithmetic number, because the mean of its divisors is an integer number (1023210552).

Almost surely, 2^114463245600 is an apocalyptic number.

114463245600 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 114463245600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221013479232).

114463245600 is an abundant number, since it is smaller than the sum of its proper divisors (327563712864).

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

114463245600 is a wasteful number, since it uses less digits than its factorization.

114463245600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5641 (or 5625 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

It can be divided in two parts, 114463 and 245600, that added together give a palindrome (360063).

The spelling of 114463245600 in words is "one hundred fourteen billion, four hundred sixty-three million, two hundred forty-five thousand, six hundred".