14890106880 has 816 divisors, whose sum is σ = 61831957824. Its totient is φ = 3397386240.

The previous prime is 14890106879. The next prime is 14890106963. The reversal of 14890106880 is 8860109841.

It is a tau number, because it is divible by the number of its divisors (816).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 875888632 + ... + 875888648.

Almost surely, 2^14890106880 is an apocalyptic number.

14890106880 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 14890106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30915978912).

14890106880 is an abundant number, since it is smaller than the sum of its proper divisors (46941850944).

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

14890106880 is an frugal number, since it uses more digits than its factorization.

14890106880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 14890106880 in words is "fourteen billion, eight hundred ninety million, one hundred six thousand, eight hundred eighty".