114349579194240 has 3456 divisors, whose sum is σ = 480197275084800. Its totient is φ = 24962428108800.

The previous prime is 114349579194203. The next prime is 114349579194241. The reversal of 114349579194240 is 42491975943411.

It is a happy number.

114349579194240 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 4 + 9 + 579 + 19 + 4 + 2 + 40 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114349579194241) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1610557453405 + ... + 1610557453475.

It is an arithmetic number, because the mean of its divisors is an integer number (138945970800).

Almost surely, 2^{114349579194240} is an apocalyptic number.

114349579194240 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 114349579194240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240098637542400).

114349579194240 is an abundant number, since it is smaller than the sum of its proper divisors (365847695890560).

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

114349579194240 is a wasteful number, since it uses less digits than its factorization.

114349579194240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 114349579194240 in words is "one hundred fourteen trillion, three hundred forty-nine billion, five hundred seventy-nine million, one hundred ninety-four thousand, two hundred forty".