363460614512016 has 320 divisors, whose sum is σ = 1112055223910400. Its totient is φ = 100135522626048.

The previous prime is 363460614511909. The next prime is 363460614512027. The reversal of 363460614512016 is 610215416064363.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16969064155 + ... + 16969085573.

It is an arithmetic number, because the mean of its divisors is an integer number (3475172574720).

Almost surely, 2^{363460614512016} 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 363460614512016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556027611955200).

363460614512016 is an abundant number, since it is smaller than the sum of its proper divisors (748594609398384).

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

363460614512016 is a wasteful number, since it uses less digits than its factorization.

363460614512016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36426 (or 36420 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 363460614512016 in words is "three hundred sixty-three trillion, four hundred sixty billion, six hundred fourteen million, five hundred twelve thousand, sixteen".