114343311344400 has 120 divisors (see below), whose sum is σ = 406977489675360. Its totient is φ = 30491549688960.

The previous prime is 114343311344399. The next prime is 114343311344407. The reversal of 114343311344400 is 4443113343411.

114343311344400 is a `hidden beast` number, since 1 + 1 + 43 + 43 + 3 + 1 + 134 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×114343311344400² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (114343311344407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5293661022 + ... + 5293682621.

It is an arithmetic number, because the mean of its divisors is an integer number (3391479080628).

Almost surely, 2^{114343311344400} is an apocalyptic number.

114343311344400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114343311344400 is an abundant number, since it is smaller than the sum of its proper divisors (292634178330960).

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

114343311344400 is a wasteful number, since it uses less digits than its factorization.

114343311344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10587343670 (or 10587343653 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 114343311344400 its reverse (4443113343411), we get a palindrome (118786424687811).

The spelling of 114343311344400 in words is "one hundred fourteen trillion, three hundred forty-three billion, three hundred eleven million, three hundred forty-four thousand, four hundred".