10114614446880 has 192 divisors, whose sum is σ = 32316474839040. Its totient is φ = 2658945429504.

The previous prime is 10114614446869. The next prime is 10114614446917. The reversal of 10114614446880 is 8864441641101.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9042306 + ... + 10099134.

It is an arithmetic number, because the mean of its divisors is an integer number (168314973120).

Almost surely, 2^{10114614446880} is an apocalyptic number.

10114614446880 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 10114614446880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16158237419520).

10114614446880 is an abundant number, since it is smaller than the sum of its proper divisors (22201860392160).

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

10114614446880 is a wasteful number, since it uses less digits than its factorization.

10114614446880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057131 (or 1057123 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The spelling of 10114614446880 in words is "ten trillion, one hundred fourteen billion, six hundred fourteen million, four hundred forty-six thousand, eight hundred eighty".