14461894104 has 192 divisors, whose sum is σ = 42816211200. Its totient is φ = 4058078976.

The previous prime is 14461894081. The next prime is 14461894121. The reversal of 14461894104 is 40149816441.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22351909 + ... + 22352555.

It is an arithmetic number, because the mean of its divisors is an integer number (223001100).

Almost surely, 2^14461894104 is an apocalyptic number.

14461894104 is a gapful number since it is divisible by the number (14) 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 14461894104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21408105600).

14461894104 is an abundant number, since it is smaller than the sum of its proper divisors (28354317096).

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

14461894104 is a wasteful number, since it uses less digits than its factorization.

14461894104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 14461894104 in words is "fourteen billion, four hundred sixty-one million, eight hundred ninety-four thousand, one hundred four".