545106094848 has 576 divisors, whose sum is σ = 1871655152640. Its totient is φ = 153280512000.

The previous prime is 545106094843. The next prime is 545106094853. The reversal of 545106094848 is 848490601545.

545106094848 is a `hidden beast` number, since 5 + 451 + 0 + 60 + 94 + 8 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (545106094843) and next prime (545106094853).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 545106094794 and 545106094803.

It is not an unprimeable number, because it can be changed into a prime (545106094843) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1617525336 + ... + 1617525672.

Almost surely, 2^545106094848 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 545106094848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935827576320).

545106094848 is an abundant number, since it is smaller than the sum of its proper divisors (1326549057792).

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

545106094848 is a wasteful number, since it uses less digits than its factorization.

545106094848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 545106094848 in words is "five hundred forty-five billion, one hundred six million, ninety-four thousand, eight hundred forty-eight".