18248105401680 has 960 divisors, whose sum is σ = 73067336534016. Its totient is φ = 3724374528000.

The previous prime is 18248105401613. The next prime is 18248105401723. The reversal of 18248105401680 is 8610450184281.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8135578639 + ... + 8135580881.

Almost surely, 2^{18248105401680} is an apocalyptic number.

18248105401680 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 18248105401680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36533668267008).

18248105401680 is an abundant number, since it is smaller than the sum of its proper divisors (54819231132336).

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

18248105401680 is a wasteful number, since it uses less digits than its factorization.

18248105401680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3376 (or 3363 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 48.

The spelling of 18248105401680 in words is "eighteen trillion, two hundred forty-eight billion, one hundred five million, four hundred one thousand, six hundred eighty".