16858312061472 has 1728 divisors, whose sum is σ = 61286338713600. Its totient is φ = 4371838894080.

The previous prime is 16858312061431. The next prime is 16858312061489. The reversal of 16858312061472 is 27416021385861.

It is a happy number.

16858312061472 is a `hidden beast` number, since 1 + 6 + 8 + 5 + 8 + 3 + 12 + 0 + 614 + 7 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 100947976333 + ... + 100947976499.

It is an arithmetic number, because the mean of its divisors is an integer number (35466631200).

Almost surely, 2^{16858312061472} is an apocalyptic number.

16858312061472 is a gapful number since it is divisible by the number (12) 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 16858312061472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30643169356800).

16858312061472 is an abundant number, since it is smaller than the sum of its proper divisors (44428026652128).

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

16858312061472 is a wasteful number, since it uses less digits than its factorization.

16858312061472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 16858312061472 in words is "sixteen trillion, eight hundred fifty-eight billion, three hundred twelve million, sixty-one thousand, four hundred seventy-two".