363015620121352 has 96 divisors (see below), whose sum is σ = 755918803553760. Its totient is φ = 163295485056000.

The previous prime is 363015620121331. The next prime is 363015620121353. The reversal of 363015620121352 is 253121026510363.

It is not an unprimeable number, because it can be changed into a prime (363015620121353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1563346203 + ... + 1563578389.

It is an arithmetic number, because the mean of its divisors is an integer number (7874154203685).

Almost surely, 2^{363015620121352} 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 363015620121352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377959401776880).

363015620121352 is an abundant number, since it is smaller than the sum of its proper divisors (392903183432408).

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

363015620121352 is a wasteful number, since it uses less digits than its factorization.

363015620121352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248963 (or 248948 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 40.

The spelling of 363015620121352 in words is "three hundred sixty-three trillion, fifteen billion, six hundred twenty million, one hundred twenty-one thousand, three hundred fifty-two".