361628968932 has 480 divisors, whose sum is σ = 1243605242880. Its totient is φ = 88776103680.

The previous prime is 361628968931. The next prime is 361628968969. The reversal of 361628968932 is 239869826163.

361628968932 is a `hidden beast` number, since 3 + 616 + 2 + 8 + 9 + 6 + 8 + 9 + 3 + 2 = 666.

It is a super-2 number, since 2×361628968932² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 361628968932.

It is not an unprimeable number, because it can be changed into a prime (361628968931) 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 159 ways as a sum of consecutive naturals, for example, 323749638 + ... + 323750754.

It is an arithmetic number, because the mean of its divisors is an integer number (2590844256).

Almost surely, 2^361628968932 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 361628968932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621802621440).

361628968932 is an abundant number, since it is smaller than the sum of its proper divisors (881976273948).

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

361628968932 is a wasteful number, since it uses less digits than its factorization.

361628968932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853 (or 1842 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 63.

The spelling of 361628968932 in words is "three hundred sixty-one billion, six hundred twenty-eight million, nine hundred sixty-eight thousand, nine hundred thirty-two".