19028914647456 has 192 divisors, whose sum is σ = 57633651919872. Its totient is φ = 5384769933312.

The previous prime is 19028914647443. The next prime is 19028914647539. The reversal of 19028914647456 is 65474641982091.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 334828515 + ... + 334885341.

It is an arithmetic number, because the mean of its divisors is an integer number (300175270416).

Almost surely, 2^{19028914647456} is an apocalyptic number.

19028914647456 is a gapful number since it is divisible by the number (16) 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 19028914647456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28816825959936).

19028914647456 is an abundant number, since it is smaller than the sum of its proper divisors (38604737272416).

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

19028914647456 is a wasteful number, since it uses less digits than its factorization.

19028914647456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61611 (or 61603 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 66.

The spelling of 19028914647456 in words is "nineteen trillion, twenty-eight billion, nine hundred fourteen million, six hundred forty-seven thousand, four hundred fifty-six".