114208981370880 has 3072 divisors, whose sum is σ = 450709501132800. Its totient is φ = 24379643658240.

The previous prime is 114208981370863. The next prime is 114208981370923. The reversal of 114208981370880 is 88073189802411.

114208981370880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-2 number, since 2×114208981370880² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 591756380064 + ... + 591756380256.

It is an arithmetic number, because the mean of its divisors is an integer number (146715332400).

Almost surely, 2^{114208981370880} is an apocalyptic number.

114208981370880 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 114208981370880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225354750566400).

114208981370880 is an abundant number, since it is smaller than the sum of its proper divisors (336500519761920).

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

114208981370880 is a wasteful number, since it uses less digits than its factorization.

114208981370880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 60.

The spelling of 114208981370880 in words is "one hundred fourteen trillion, two hundred eight billion, nine hundred eighty-one million, three hundred seventy thousand, eight hundred eighty".