16469247504864 has 2304 divisors, whose sum is σ = 63708954624000. Its totient is φ = 3675713126400.

The previous prime is 16469247504851. The next prime is 16469247504911. The reversal of 16469247504864 is 46840574296461.

It is a super-2 number, since 2×16469247504864² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 16469247504795 and 16469247504804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 68908985257 + ... + 68908985495.

It is an arithmetic number, because the mean of its divisors is an integer number (27651456000).

Almost surely, 2^{16469247504864} is an apocalyptic number.

16469247504864 is a gapful number since it is divisible by the number (14) 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 16469247504864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31854477312000).

16469247504864 is an abundant number, since it is smaller than the sum of its proper divisors (47239707119136).

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

16469247504864 is a wasteful number, since it uses less digits than its factorization.

16469247504864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 66.

The spelling of 16469247504864 in words is "sixteen trillion, four hundred sixty-nine billion, two hundred forty-seven million, five hundred four thousand, eight hundred sixty-four".