14744930868864 has 192 divisors, whose sum is σ = 49155782994240. Its totient is φ = 4155127123968.

The previous prime is 14744930868859. The next prime is 14744930868901. The reversal of 14744930868864 is 46886803944741.

14744930868864 is a `hidden beast` number, since 1 + 4 + 74 + 493 + 0 + 8 + 6 + 8 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 14744930868792 and 14744930868801.

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, 11935222 + ... + 13112565.

It is an arithmetic number, because the mean of its divisors is an integer number (256019703095).

Almost surely, 2^{14744930868864} is an apocalyptic number.

14744930868864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14744930868864 is an abundant number, since it is smaller than the sum of its proper divisors (34410852125376).

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

14744930868864 is a wasteful number, since it uses less digits than its factorization.

14744930868864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25047887 (or 25047872 counting only the distinct ones).

The product of its (nonzero) digits is 891813888, while the sum is 72.

The spelling of 14744930868864 in words is "fourteen trillion, seven hundred forty-four billion, nine hundred thirty million, eight hundred sixty-eight thousand, eight hundred sixty-four".