14946972935328 has 144 divisors (see below), whose sum is σ = 49261854934656. Its totient is φ = 4210414871040.

The previous prime is 14946972935317. The next prime is 14946972935347. The reversal of 14946972935328 is 82353927964941.

14946972935328 is a `hidden beast` number, since 1 + 4 + 9 + 4 + 6 + 9 + 7 + 293 + 5 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52069351 + ... + 52355622.

It is an arithmetic number, because the mean of its divisors is an integer number (342096214824).

Almost surely, 2^{14946972935328} is an apocalyptic number.

14946972935328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14946972935328 is an abundant number, since it is smaller than the sum of its proper divisors (34314881999328).

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

14946972935328 is a wasteful number, since it uses less digits than its factorization.

14946972935328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104425067 (or 104425056 counting only the distinct ones).

The product of its digits is 705438720, while the sum is 72.

The spelling of 14946972935328 in words is "fourteen trillion, nine hundred forty-six billion, nine hundred seventy-two million, nine hundred thirty-five thousand, three hundred twenty-eight".