363216505640448 has 160 divisors (see below), whose sum is σ = 970159658307840. Its totient is φ = 120756248616960.

The previous prime is 363216505640431. The next prime is 363216505640491. The reversal of 363216505640448 is 844046505612363.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 905420458 + ... + 905821526.

It is an arithmetic number, because the mean of its divisors is an integer number (6063497864424).

Almost surely, 2^{363216505640448} 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 363216505640448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485079829153920).

363216505640448 is an abundant number, since it is smaller than the sum of its proper divisors (606943152667392).

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

363216505640448 is an equidigital number, since it uses as much as digits as its factorization.

363216505640448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402628 (or 402612 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 57.

The spelling of 363216505640448 in words is "three hundred sixty-three trillion, two hundred sixteen billion, five hundred five million, six hundred forty thousand, four hundred forty-eight".