17974136344640 has 224 divisors, whose sum is σ = 51817793589504. Its totient is φ = 5797247385600.

The previous prime is 17974136344607. The next prime is 17974136344679. The reversal of 17974136344640 is 4644363147971.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 17974136344640.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79207340 + ... + 79433940.

Almost surely, 2^{17974136344640} is an apocalyptic number.

17974136344640 is a gapful number since it is divisible by the number (10) 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 17974136344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25908896794752).

17974136344640 is an abundant number, since it is smaller than the sum of its proper divisors (33843657244864).

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

17974136344640 is a wasteful number, since it uses less digits than its factorization.

17974136344640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228725 (or 228715 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 59.

The spelling of 17974136344640 in words is "seventeen trillion, nine hundred seventy-four billion, one hundred thirty-six million, three hundred forty-four thousand, six hundred forty".