19838360240864 has 96 divisors (see below), whose sum is σ = 45498434365440. Its totient is φ = 8425635724800.

The previous prime is 19838360240813. The next prime is 19838360240869. The reversal of 19838360240864 is 46804206383891.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a junction number, because it is equal to n+sod(n) for n = 19838360240797 and 19838360240806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19838360240869) 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 15 ways as a sum of consecutive naturals, for example, 31028924 + ... + 31661819.

It is an arithmetic number, because the mean of its divisors is an integer number (473942024640).

Almost surely, 2^{19838360240864} is an apocalyptic number.

It is an amenable number.

19838360240864 is an abundant number, since it is smaller than the sum of its proper divisors (25660074124576).

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

19838360240864 is a wasteful number, since it uses less digits than its factorization.

19838360240864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62690824 (or 62690816 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 62.

The spelling of 19838360240864 in words is "nineteen trillion, eight hundred thirty-eight billion, three hundred sixty million, two hundred forty thousand, eight hundred sixty-four".