17421317421456 has 160 divisors (see below), whose sum is σ = 49172163002368. Its totient is φ = 5282973964800.

The previous prime is 17421317421437. The next prime is 17421317421467. The reversal of 17421317421456 is 65412471312471.

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

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, 11238525 + ... + 12694371.

Almost surely, 2^{17421317421456} is an apocalyptic number.

17421317421456 is a gapful number since it is divisible by the number (16) 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 17421317421456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24586081501184).

17421317421456 is an abundant number, since it is smaller than the sum of its proper divisors (31750845580912).

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

17421317421456 is a wasteful number, since it uses less digits than its factorization.

17421317421456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456149 (or 1456143 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 48.

The spelling of 17421317421456 in words is "seventeen trillion, four hundred twenty-one billion, three hundred seventeen million, four hundred twenty-one thousand, four hundred fifty-six".