14968648770894 has 448 divisors, whose sum is σ = 41883899904000. Its totient is φ = 3905013701376.

The previous prime is 14968648770871. The next prime is 14968648770913. The reversal of 14968648770894 is 49807784686941.

14968648770894 is a `hidden beast` number, since 1 + 4 + 9 + 68 + 6 + 487 + 70 + 8 + 9 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 5199251347 + ... + 5199254225.

It is an arithmetic number, because the mean of its divisors is an integer number (93490848000).

Almost surely, 2^{14968648770894} is an apocalyptic number.

14968648770894 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14968648770894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20941949952000).

14968648770894 is an abundant number, since it is smaller than the sum of its proper divisors (26915251133106).

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

14968648770894 is a wasteful number, since it uses less digits than its factorization.

14968648770894 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3331 (or 3316 counting only the distinct ones).

The product of its (nonzero) digits is 4682022912, while the sum is 81.

The spelling of 14968648770894 in words is "fourteen trillion, nine hundred sixty-eight billion, six hundred forty-eight million, seven hundred seventy thousand, eight hundred ninety-four".