114419564126208 has 1344 divisors, whose sum is σ = 397103788569600. Its totient is φ = 32439995596800.

The previous prime is 114419564126201. The next prime is 114419564126261. The reversal of 114419564126208 is 802621465914411.

It is a happy number.

114419564126208 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 1 + 9 + 5 + 6 + 4 + 1 + 2 + 620 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (114419564126201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42205665973 + ... + 42205668683.

It is an arithmetic number, because the mean of its divisors is an integer number (295464128400).

Almost surely, 2^{114419564126208} is an apocalyptic number.

114419564126208 is a gapful number since it is divisible by the number (18) 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 114419564126208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198551894284800).

114419564126208 is an abundant number, since it is smaller than the sum of its proper divisors (282684224443392).

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

114419564126208 is a wasteful number, since it uses less digits than its factorization.

114419564126208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2870 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 114419564126208 in words is "one hundred fourteen trillion, four hundred nineteen billion, five hundred sixty-four million, one hundred twenty-six thousand, two hundred eight".