368854587556 has 243 divisors, whose sum is σ = 842619173697. Its totient is φ = 140804314560.

The previous prime is 368854587533. The next prime is 368854587649. The reversal of 368854587556 is 655785458863.

The square root of 368854587556 is 607334.

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., 54564288100 + 314290299456 = 233590^2 + 560616^2 .

It is a super-4 number, since 4×368854587556⁴ (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

Its product of digits (967680000) is a multiple of the sum of its prime divisors (140).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5195135001 + ... + 5195135071.

Almost surely, 2^368854587556 is an apocalyptic number.

368854587556 is the 607334-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368854587556

368854587556 is an abundant number, since it is smaller than the sum of its proper divisors (473764586141).

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

368854587556 is a wasteful number, since it uses less digits than its factorization.

368854587556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 140 counting only the distinct ones).

The product of its digits is 967680000, while the sum is 70.

The spelling of 368854587556 in words is "three hundred sixty-eight billion, eight hundred fifty-four million, five hundred eighty-seven thousand, five hundred fifty-six".