545561971968 has 576 divisors, whose sum is σ = 1723278412800. Its totient is φ = 151608360960.

The previous prime is 545561971949. The next prime is 545561971991. The reversal of 545561971968 is 869179165545.

It is a happy number.

It is a super-2 number, since 2×545561971968² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 545561971899 and 545561971908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1333892148 + ... + 1333892556.

It is an arithmetic number, because the mean of its divisors is an integer number (2991802800).

Almost surely, 2^545561971968 is an apocalyptic number.

545561971968 is a gapful number since it is divisible by the number (58) 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 545561971968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861639206400).

545561971968 is an abundant number, since it is smaller than the sum of its proper divisors (1177716440832).

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

545561971968 is a wasteful number, since it uses less digits than its factorization.

545561971968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 744 counting only the distinct ones).

The product of its digits is 81648000, while the sum is 66.

The spelling of 545561971968 in words is "five hundred forty-five billion, five hundred sixty-one million, nine hundred seventy-one thousand, nine hundred sixty-eight".