14182928105472 has 1920 divisors, whose sum is σ = 54114936422400. Its totient is φ = 3577829916672.

The previous prime is 14182928105461. The next prime is 14182928105483. The reversal of 14182928105472 is 27450182928141.

14182928105472 is a `hidden beast` number, since 1 + 4 + 1 + 8 + 2 + 92 + 8 + 1 + 0 + 547 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (14182928105461) and next prime (14182928105483).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 63600574353 + ... + 63600574575.

It is an arithmetic number, because the mean of its divisors is an integer number (28184862720).

Almost surely, 2^{14182928105472} is an apocalyptic number.

14182928105472 is a gapful number since it is divisible by the number (12) 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 14182928105472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27057468211200).

14182928105472 is an abundant number, since it is smaller than the sum of its proper divisors (39932008316928).

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

14182928105472 is a wasteful number, since it uses less digits than its factorization.

14182928105472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

It can be divided in two parts, 14182928 and 105472, that added together give a square (14288400 = 3780²).

The spelling of 14182928105472 in words is "fourteen trillion, one hundred eighty-two billion, nine hundred twenty-eight million, one hundred five thousand, four hundred seventy-two".