363426545664 has 1088 divisors, whose sum is σ = 1383438676480. Its totient is φ = 91729428480.

The previous prime is 363426545653. The next prime is 363426545693. The reversal of 363426545664 is 466545624363.

363426545664 is a `hidden beast` number, since 3 + 6 + 3 + 4 + 26 + 54 + 566 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 363426545664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5957812194 + ... + 5957812254.

Almost surely, 2^363426545664 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 363426545664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691719338240).

363426545664 is an abundant number, since it is smaller than the sum of its proper divisors (1020012130816).

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

363426545664 is an equidigital number, since it uses as much as digits as its factorization.

363426545664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 123 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 54.

The spelling of 363426545664 in words is "three hundred sixty-three billion, four hundred twenty-six million, five hundred forty-five thousand, six hundred sixty-four".