19413672320448 has 336 divisors, whose sum is σ = 69101736970240. Its totient is φ = 5085317376000.

The previous prime is 19413672320447. The next prime is 19413672320459. The reversal of 19413672320448 is 84402327631491.

19413672320448 is a `hidden beast` number, since 1 + 9 + 4 + 1 + 367 + 232 + 0 + 4 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 19413672320394 and 19413672320403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19413672320447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1712503 + ... + 6462198.

Almost surely, 2^{19413672320448} is an apocalyptic number.

19413672320448 is a gapful number since it is divisible by the number (18) 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 19413672320448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34550868485120).

19413672320448 is an abundant number, since it is smaller than the sum of its proper divisors (49688064649792).

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

19413672320448 is a wasteful number, since it uses less digits than its factorization.

19413672320448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8174776 (or 8174763 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 19413672320448 in words is "nineteen trillion, four hundred thirteen billion, six hundred seventy-two million, three hundred twenty thousand, four hundred forty-eight".