14916242746944 has 1568 divisors, whose sum is σ = 57001402343424. Its totient is φ = 3758577500160.

The previous prime is 14916242746913. The next prime is 14916242747083. The reversal of 14916242746944 is 44964724261941.

14916242746944 is a `hidden beast` number, since 1 + 4 + 9 + 162 + 4 + 2 + 7 + 469 + 4 + 4 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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, 34448597352 + ... + 34448597784.

It is an arithmetic number, because the mean of its divisors is an integer number (36352935168).

Almost surely, 2^{14916242746944} is an apocalyptic number.

14916242746944 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 14916242746944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28500701171712).

14916242746944 is an abundant number, since it is smaller than the sum of its proper divisors (42085159596480).

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

14916242746944 is a wasteful number, since it uses less digits than its factorization.

14916242746944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 722 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 63.

The spelling of 14916242746944 in words is "fourteen trillion, nine hundred sixteen billion, two hundred forty-two million, seven hundred forty-six thousand, nine hundred forty-four".