4093548655504 has 135 divisors (see below), whose sum is σ = 10142682526641. Its totient is φ = 1594646296320.

The previous prime is 4093548655447. The next prime is 4093548655517. The reversal of 4093548655504 is 4055568453904.

It is a happy number.

The square root of 4093548655504 is 2023252.

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

It can be written as a sum of positive squares in only one way, i.e., 3683129045904 + 410419609600 = 1919148^2 + 640640^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 623158332 + ... + 623164900.

Almost surely, 2^{4093548655504} is an apocalyptic number.

4093548655504 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

4093548655504 is the 2023252-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4093548655504

4093548655504 is an abundant number, since it is smaller than the sum of its proper divisors (6049133871137).

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

4093548655504 is an frugal number, since it uses more digits than its factorization.

4093548655504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13182 (or 6589 counting only the distinct ones).

The product of its (nonzero) digits is 51840000, while the sum is 58.

The spelling of 4093548655504 in words is "four trillion, ninety-three billion, five hundred forty-eight million, six hundred fifty-five thousand, five hundred four".