16554911358456 has 256 divisors, whose sum is σ = 47265519168000. Its totient is φ = 5365681781760.

The previous prime is 16554911358443. The next prime is 16554911358473. The reversal of 16554911358456 is 65485311945561.

16554911358456 is a `hidden beast` number, since 1 + 6 + 5 + 5 + 49 + 1 + 1 + 3 + 584 + 5 + 6 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 16554911358393 and 16554911358402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3684598546 + ... + 3684603038.

It is an arithmetic number, because the mean of its divisors is an integer number (184630934250).

Almost surely, 2^{16554911358456} 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 16554911358456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23632759584000).

16554911358456 is an abundant number, since it is smaller than the sum of its proper divisors (30710607809544).

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

16554911358456 is a wasteful number, since it uses less digits than its factorization.

16554911358456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5851 (or 5841 counting only the distinct ones).

The product of its digits is 77760000, while the sum is 63.

The spelling of 16554911358456 in words is "sixteen trillion, five hundred fifty-four billion, nine hundred eleven million, three hundred fifty-eight thousand, four hundred fifty-six".