363109120000 has 960 divisors, whose sum is σ = 1102532951520. Its totient is φ = 117964800000.

The previous prime is 363109119991. The next prime is 363109120007. The reversal of 363109120000 is 21901363.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363109120007) 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 79 ways as a sum of consecutive naturals, for example, 8856319980 + ... + 8856320020.

Almost surely, 2^363109120000 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 363109120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551266475760).

363109120000 is an abundant number, since it is smaller than the sum of its proper divisors (739423831520).

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

363109120000 is a wasteful number, since it uses less digits than its factorization.

363109120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The spelling of 363109120000 in words is "three hundred sixty-three billion, one hundred nine million, one hundred twenty thousand".