363567406124160 has 768 divisors, whose sum is σ = 1489469975884800. Its totient is φ = 83015297003520.

The previous prime is 363567406124149. The next prime is 363567406124213. The reversal of 363567406124160 is 61421604765363.

363567406124160 is a `hidden beast` number, since 3 + 6 + 3 + 5 + 6 + 7 + 4 + 0 + 612 + 4 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 363567406124097 and 363567406124106.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1056897471 + ... + 1057241409.

It is an arithmetic number, because the mean of its divisors is an integer number (1939414031100).

Almost surely, 2^{363567406124160} is an apocalyptic number.

363567406124160 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 363567406124160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744734987942400).

363567406124160 is an abundant number, since it is smaller than the sum of its proper divisors (1125902569760640).

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

363567406124160 is an equidigital number, since it uses as much as digits as its factorization.

363567406124160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344951 (or 344927 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 363567406124160 in words is "three hundred sixty-three trillion, five hundred sixty-seven billion, four hundred six million, one hundred twenty-four thousand, one hundred sixty".