16545655417564 has 192 divisors, whose sum is σ = 37844184268800. Its totient is φ = 6142387064832.

The previous prime is 16545655417549. The next prime is 16545655417573. The reversal of 16545655417564 is 46571455654561.

It is a junction number, because it is equal to n+sod(n) for n = 16545655417496 and 16545655417505.

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, 6085197397 + ... + 6085200115.

It is an arithmetic number, because the mean of its divisors is an integer number (197105126400).

Almost surely, 2^{16545655417564} is an apocalyptic number.

16545655417564 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 16545655417564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18922092134400).

16545655417564 is an abundant number, since it is smaller than the sum of its proper divisors (21298528851236).

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

16545655417564 is a wasteful number, since it uses less digits than its factorization.

16545655417564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5292 (or 5290 counting only the distinct ones).

The product of its digits is 302400000, while the sum is 64.

The spelling of 16545655417564 in words is "sixteen trillion, five hundred forty-five billion, six hundred fifty-five million, four hundred seventeen thousand, five hundred sixty-four".