368580110064552 has 320 divisors, whose sum is σ = 1050112313989200. Its totient is φ = 120760359321600.

The previous prime is 368580110064539. The next prime is 368580110064577. The reversal of 368580110064552 is 255460011085863.

368580110064552 is a `hidden beast` number, since 3 + 6 + 8 + 5 + 80 + 1 + 1 + 0 + 0 + 6 + 4 + 552 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 366415168616676 + 2164941447876 = 19141974^2 + 1471374^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16403927974 + ... + 16403950442.

Almost surely, 2^{368580110064552} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368580110064552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525056156994600).

368580110064552 is an abundant number, since it is smaller than the sum of its proper divisors (681532203924648).

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

368580110064552 is a wasteful number, since it uses less digits than its factorization.

368580110064552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23738 (or 23725 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 368580110064552 in words is "three hundred sixty-eight trillion, five hundred eighty billion, one hundred ten million, sixty-four thousand, five hundred fifty-two".