361553868 has 216 divisors, whose sum is σ = 1074318336. Its totient is φ = 106142400.

The previous prime is 361553861. The next prime is 361553891. The reversal of 361553868 is 868355163.

361553868 is a `hidden beast` number, since 36 + 1 + 553 + 8 + 68 = 666.

It is a super-2 number, since 2×361553868² = 261442398931522848, which contains 22 as substring.

Its product of digits (518400) is a multiple of the sum of its prime divisors (120).

It is not an unprimeable number, because it can be changed into a prime (361553861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5092273 + ... + 5092343.

It is an arithmetic number, because the mean of its divisors is an integer number (4973696).

Almost surely, 2^361553868 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 361553868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537159168).

361553868 is an abundant number, since it is smaller than the sum of its proper divisors (712764468).

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

361553868 is a wasteful number, since it uses less digits than its factorization.

361553868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 120 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 361553868 is about 19014.5698873259. The cubic root of 361553868 is about 712.4006997347.

The spelling of 361553868 in words is "three hundred sixty-one million, five hundred fifty-three thousand, eight hundred sixty-eight".