114241194404352 has 480 divisors, whose sum is σ = 333939682492416. Its totient is φ = 37595774361600.

The previous prime is 114241194404341. The next prime is 114241194404371. The reversal of 114241194404352 is 253404491142411.

114241194404352 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 4 + 1 + 194 + 404 + 3 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 114241194404298 and 114241194404307.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93410624413 + ... + 93410625635.

Almost surely, 2^{114241194404352} is an apocalyptic number.

114241194404352 is a gapful number since it is divisible by the number (12) 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 114241194404352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166969841246208).

114241194404352 is an abundant number, since it is smaller than the sum of its proper divisors (219698488088064).

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

114241194404352 is a wasteful number, since it uses less digits than its factorization.

114241194404352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 2133 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 114241194404352 in words is "one hundred fourteen trillion, two hundred forty-one billion, one hundred ninety-four million, four hundred four thousand, three hundred fifty-two".