19498336625664 has 528 divisors, whose sum is σ = 64033210521280. Its totient is φ = 5665008844800.

The previous prime is 19498336625641. The next prime is 19498336625741. The reversal of 19498336625664 is 46652663389491.

19498336625664 is a `hidden beast` number, since 1 + 9 + 4 + 9 + 8 + 3 + 366 + 256 + 6 + 4 = 666.

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 = 19498336625592 and 19498336625601.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 698826114 + ... + 698854014.

Almost surely, 2^{19498336625664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19498336625664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32016605260640).

19498336625664 is an abundant number, since it is smaller than the sum of its proper divisors (44534873895616).

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

19498336625664 is a wasteful number, since it uses less digits than its factorization.

19498336625664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28266 (or 28245 counting only the distinct ones).

The product of its digits is 1209323520, while the sum is 72.

The spelling of 19498336625664 in words is "nineteen trillion, four hundred ninety-eight billion, three hundred thirty-six million, six hundred twenty-five thousand, six hundred sixty-four".