545918141664 has 480 divisors, whose sum is σ = 1866286033920. Its totient is φ = 153327541248.

The previous prime is 545918141641. The next prime is 545918141689. The reversal of 545918141664 is 466141819545.

545918141664 is a `hidden beast` number, since 5 + 4 + 5 + 91 + 81 + 416 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 545918141664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 344862217 + ... + 344863799.

It is an arithmetic number, because the mean of its divisors is an integer number (3888095904).

Almost surely, 2^545918141664 is an apocalyptic number.

545918141664 is a gapful number since it is divisible by the number (54) 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 545918141664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933143016960).

545918141664 is an abundant number, since it is smaller than the sum of its proper divisors (1320367892256).

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

545918141664 is a wasteful number, since it uses less digits than its factorization.

545918141664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924 (or 1907 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The spelling of 545918141664 in words is "five hundred forty-five billion, nine hundred eighteen million, one hundred forty-one thousand, six hundred sixty-four".