14728152075840 has 1792 divisors, whose sum is σ = 65415444480000. Its totient is φ = 3108613939200.

The previous prime is 14728152075827. The next prime is 14728152075841. The reversal of 14728152075840 is 4857025182741.

14728152075840 is a `hidden beast` number, since 1 + 4 + 7 + 2 + 8 + 1 + 52 + 0 + 7 + 584 + 0 = 666.

It is a super-2 number, since 2×14728152075840² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (14728152075841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1976664115 + ... + 1976671565.

Almost surely, 2^{14728152075840} is an apocalyptic number.

14728152075840 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 14728152075840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32707722240000).

14728152075840 is an abundant number, since it is smaller than the sum of its proper divisors (50687292404160).

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

14728152075840 is a wasteful number, since it uses less digits than its factorization.

14728152075840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7550 (or 7520 counting only the distinct ones).

The product of its (nonzero) digits is 5017600, while the sum is 54.

The spelling of 14728152075840 in words is "fourteen trillion, seven hundred twenty-eight billion, one hundred fifty-two million, seventy-five thousand, eight hundred forty".