16845507058464 has 1440 divisors, whose sum is σ = 63550675077120. Its totient is φ = 4344295431168.

The previous prime is 16845507058403. The next prime is 16845507058507. The reversal of 16845507058464 is 46485070554861.

16845507058464 is a `hidden beast` number, since 1 + 6 + 8 + 4 + 5 + 50 + 70 + 58 + 464 = 666.

16845507058464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×16845507058464² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 20369415619 + ... + 20369416445.

It is an arithmetic number, because the mean of its divisors is an integer number (44132413248).

Almost surely, 2^{16845507058464} is an apocalyptic number.

16845507058464 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 16845507058464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31775337538560).

16845507058464 is an abundant number, since it is smaller than the sum of its proper divisors (46705168018656).

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

16845507058464 is a wasteful number, since it uses less digits than its factorization.

16845507058464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 129024000, while the sum is 63.

The spelling of 16845507058464 in words is "sixteen trillion, eight hundred forty-five billion, five hundred seven million, fifty-eight thousand, four hundred sixty-four".