364446111744 has 864 divisors, whose sum is σ = 1283514588720. Its totient is φ = 98205696000.

The previous prime is 364446111739. The next prime is 364446111749. The reversal of 364446111744 is 447111644463.

364446111744 is a `hidden beast` number, since 36 + 4 + 4 + 461 + 117 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (364446111739) and next prime (364446111749).

It is a self number, because there is not a number n which added to its sum of digits gives 364446111744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364446111749) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3608377294 + ... + 3608377394.

Almost surely, 2^364446111744 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 364446111744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641757294360).

364446111744 is an abundant number, since it is smaller than the sum of its proper divisors (919068476976).

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

364446111744 is a wasteful number, since it uses less digits than its factorization.

364446111744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 167 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The spelling of 364446111744 in words is "three hundred sixty-four billion, four hundred forty-six million, one hundred eleven thousand, seven hundred forty-four".