14745729288420 has 288 divisors, whose sum is σ = 51883796764800. Its totient is φ = 3358710448128.

The previous prime is 14745729288419. The next prime is 14745729288443. The reversal of 14745729288420 is 2488292754741.

14745729288420 is a `hidden beast` number, since 1 + 4 + 7 + 45 + 7 + 2 + 92 + 88 + 420 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1944765 + ... + 5768324.

It is an arithmetic number, because the mean of its divisors is an integer number (180152072100).

Almost surely, 2^{14745729288420} is an apocalyptic number.

14745729288420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14745729288420 is an abundant number, since it is smaller than the sum of its proper divisors (37138067476380).

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

14745729288420 is a wasteful number, since it uses less digits than its factorization.

14745729288420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7713179 (or 7713174 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 14745729288420 in words is "fourteen trillion, seven hundred forty-five billion, seven hundred twenty-nine million, two hundred eighty-eight thousand, four hundred twenty".