10146489981888 has 336 divisors, whose sum is σ = 30182357496480. Its totient is φ = 2990071480320.

The previous prime is 10146489981863. The next prime is 10146489981913. The reversal of 10146489981888 is 88818998464101.

It is an interprime number because it is at equal distance from previous prime (10146489981863) and next prime (10146489981913).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 232647828 + ... + 232691436.

It is an arithmetic number, because the mean of its divisors is an integer number (89828444930).

Almost surely, 2^{10146489981888} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10146489981888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15091178748240).

10146489981888 is an abundant number, since it is smaller than the sum of its proper divisors (20035867514592).

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

10146489981888 is a wasteful number, since it uses less digits than its factorization.

10146489981888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43796 (or 43755 counting only the distinct ones).

The product of its (nonzero) digits is 254803968, while the sum is 75.

The spelling of 10146489981888 in words is "ten trillion, one hundred forty-six billion, four hundred eighty-nine million, nine hundred eighty-one thousand, eight hundred eighty-eight".