545965858368 has 336 divisors, whose sum is σ = 1911762268416. Its totient is φ = 145567825920.

The previous prime is 545965858351. The next prime is 545965858369. The reversal of 545965858368 is 863858569545.

545965858368 is a `hidden beast` number, since 5 + 4 + 5 + 9 + 6 + 585 + 8 + 36 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 545965858296 and 545965858305.

It is not an unprimeable number, because it can be changed into a prime (545965858369) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3730380 + ... + 3873972.

It is an arithmetic number, because the mean of its divisors is an integer number (5689768656).

Almost surely, 2^545965858368 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 545965858368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955881134208).

545965858368 is an abundant number, since it is smaller than the sum of its proper divisors (1365796410048).

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

545965858368 is a wasteful number, since it uses less digits than its factorization.

545965858368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143682 (or 143669 counting only the distinct ones).

The product of its digits is 1244160000, while the sum is 72.

The spelling of 545965858368 in words is "five hundred forty-five billion, nine hundred sixty-five million, eight hundred fifty-eight thousand, three hundred sixty-eight".