13894284324960 has 576 divisors, whose sum is σ = 53220603211776. Its totient is φ = 3277656576000.

The previous prime is 13894284324923. The next prime is 13894284325057. The reversal of 13894284324960 is 6942348249831.

13894284324960 is a `hidden beast` number, since 1 + 3 + 8 + 94 + 28 + 4 + 32 + 496 + 0 = 666.

It is a super-2 number, since 2×13894284324960² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 59656735 + ... + 59889185.

It is an arithmetic number, because the mean of its divisors is an integer number (92396880576).

Almost surely, 2^{13894284324960} is an apocalyptic number.

13894284324960 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 13894284324960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26610301605888).

13894284324960 is an abundant number, since it is smaller than the sum of its proper divisors (39326318886816).

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

13894284324960 is a wasteful number, since it uses less digits than its factorization.

13894284324960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232619 (or 232608 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 13894284324960 in words is "thirteen trillion, eight hundred ninety-four billion, two hundred eighty-four million, three hundred twenty-four thousand, nine hundred sixty".