545314611600 has 180 divisors, whose sum is σ = 2064429071952. Its totient is φ = 132197472000.

The previous prime is 545314611593. The next prime is 545314611607. The reversal of 545314611600 is 6116413545.

545314611600 is a `hidden beast` number, since 5 + 4 + 5 + 3 + 1 + 46 + 1 + 1 + 600 = 666.

545314611600 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (545314611593) and next prime (545314611607).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (545314611607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6845686 + ... + 6924885.

Almost surely, 2^545314611600 is an apocalyptic number.

545314611600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

545314611600 is an abundant number, since it is smaller than the sum of its proper divisors (1519114460352).

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

545314611600 is a wasteful number, since it uses less digits than its factorization.

545314611600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13770606 (or 13770592 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 545314611600 in words is "five hundred forty-five billion, three hundred fourteen million, six hundred eleven thousand, six hundred".