363168542952 has 128 divisors (see below), whose sum is σ = 1020279936000. Its totient is φ = 119682671040.

The previous prime is 363168542857. The next prime is 363168542963. The reversal of 363168542952 is 259245861363.

It is a happy number.

363168542952 is a `hidden beast` number, since 3 + 6 + 3 + 1 + 6 + 8 + 542 + 95 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 31 ways as a sum of consecutive naturals, for example, 13758327 + ... + 13784697.

It is an arithmetic number, because the mean of its divisors is an integer number (7970937000).

Almost surely, 2^363168542952 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 363168542952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510139968000).

363168542952 is an abundant number, since it is smaller than the sum of its proper divisors (657111393048).

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

363168542952 is a wasteful number, since it uses less digits than its factorization.

363168542952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27108 (or 27098 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 363168542952 in words is "three hundred sixty-three billion, one hundred sixty-eight million, five hundred forty-two thousand, nine hundred fifty-two".