545438148864 has 288 divisors, whose sum is σ = 1762713550080. Its totient is φ = 146164678656.

The previous prime is 545438148863. The next prime is 545438148877. The reversal of 545438148864 is 468841834545.

It is a junction number, because it is equal to n+sod(n) for n = 545438148798 and 545438148807.

It is not an unprimeable number, because it can be changed into a prime (545438148863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26767672 + ... + 26788040.

It is an arithmetic number, because the mean of its divisors is an integer number (6120533160).

Almost surely, 2^545438148864 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 545438148864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881356775040).

545438148864 is an abundant number, since it is smaller than the sum of its proper divisors (1217275401216).

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

545438148864 is a wasteful number, since it uses less digits than its factorization.

545438148864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20705 (or 20691 counting only the distinct ones).

The product of its digits is 58982400, while the sum is 60.

The spelling of 545438148864 in words is "five hundred forty-five billion, four hundred thirty-eight million, one hundred forty-eight thousand, eight hundred sixty-four".