114146697450240 has 2592 divisors, whose sum is σ = 543275974463040. Its totient is φ = 22666341777408.

The previous prime is 114146697450161. The next prime is 114146697450271. The reversal of 114146697450240 is 42054796641411.

114146697450240 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 4 + 6 + 6 + 97 + 4 + 502 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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 287 ways as a sum of consecutive naturals, for example, 3368235216 + ... + 3368269104.

It is an arithmetic number, because the mean of its divisors is an integer number (209597212370).

Almost surely, 2^{114146697450240} is an apocalyptic number.

114146697450240 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 114146697450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271637987231520).

114146697450240 is an abundant number, since it is smaller than the sum of its proper divisors (429129277012800).

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

114146697450240 is a wasteful number, since it uses less digits than its factorization.

114146697450240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33969 (or 33936 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 114146697450240 in words is "one hundred fourteen trillion, one hundred forty-six billion, six hundred ninety-seven million, four hundred fifty thousand, two hundred forty".