114104425104000 has 384 divisors, whose sum is σ = 409823107200000. Its totient is φ = 30424461465600.

The previous prime is 114104425103939. The next prime is 114104425104041. The reversal of 114104425104000 is 401524401411.

It is a happy number.

114104425104000 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 0 + 4 + 4 + 251 + 0 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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, 1462857001 + ... + 1462934999.

It is an arithmetic number, because the mean of its divisors is an integer number (1067247675000).

Almost surely, 2^{114104425104000} is an apocalyptic number.

114104425104000 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 114104425104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204911553600000).

114104425104000 is an abundant number, since it is smaller than the sum of its proper divisors (295718682096000).

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

114104425104000 is a wasteful number, since it uses less digits than its factorization.

114104425104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88193 (or 88168 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 114104425104000 its reverse (401524401411), we get a palindrome (114505949505411).

The spelling of 114104425104000 in words is "one hundred fourteen trillion, one hundred four billion, four hundred twenty-five million, one hundred four thousand".