16800638124864 has 1344 divisors, whose sum is σ = 54853030711296. Its totient is φ = 4487712768000.

The previous prime is 16800638124839. The next prime is 16800638124889. The reversal of 16800638124864 is 46842183600861.

It is an interprime number because it is at equal distance from previous prime (16800638124839) and next prime (16800638124889).

It is a super-2 number, since 2×16800638124864² (a number of 27 digits) contains 22 as substring.

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, 122632395004 + ... + 122632395140.

Almost surely, 2^{16800638124864} 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 16800638124864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27426515355648).

16800638124864 is an abundant number, since it is smaller than the sum of its proper divisors (38052392586432).

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

16800638124864 is a wasteful number, since it uses less digits than its factorization.

16800638124864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 57.

The spelling of 16800638124864 in words is "sixteen trillion, eight hundred billion, six hundred thirty-eight million, one hundred twenty-four thousand, eight hundred sixty-four".