363853412160 has 448 divisors, whose sum is σ = 1372697280000. Its totient is φ = 81593401344.

The previous prime is 363853412129. The next prime is 363853412161. The reversal of 363853412160 is 61214358363.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363853412161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17441416 + ... + 17462264.

Almost surely, 2^363853412160 is an apocalyptic number.

363853412160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 363853412160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686348640000).

363853412160 is an abundant number, since it is smaller than the sum of its proper divisors (1008843867840).

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

363853412160 is a wasteful number, since it uses less digits than its factorization.

363853412160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20943 (or 20919 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 363853412160 in words is "three hundred sixty-three billion, eight hundred fifty-three million, four hundred twelve thousand, one hundred sixty".