545677690000 has 225 divisors, whose sum is σ = 1352443480333. Its totient is φ = 213218368000.

The previous prime is 545677689979. The next prime is 545677690007. The reversal of 545677690000 is 96776545.

The square root of 545677690000 is 738700.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 530094661776 + 15583028224 = 728076^2 + 124832^2 .

It is a super-2 number, since 2×545677690000² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (545677690007) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 6131209956 + ... + 6131210044.

Almost surely, 2^545677690000 is an apocalyptic number.

545677690000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

545677690000 is the 738700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 545677690000

545677690000 is an abundant number, since it is smaller than the sum of its proper divisors (806765790333).

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

545677690000 is an frugal number, since it uses more digits than its factorization.

545677690000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 49.

Multiplying 545677690000 by its sum of digits (49), we get a square (26738206810000 = 5170900²).

The spelling of 545677690000 in words is "five hundred forty-five billion, six hundred seventy-seven million, six hundred ninety thousand".