1365464604672 has 1344 divisors, whose sum is σ = 5037890457600. Its totient is φ = 361184624640.

The previous prime is 1365464604667. The next prime is 1365464604689. The reversal of 1365464604672 is 2764064645631.

It is a happy number.

1365464604672 is a `hidden beast` number, since 1 + 3 + 65 + 4 + 64 + 60 + 467 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×1365464604672² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

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, 12527198154 + ... + 12527198262.

It is an arithmetic number, because the mean of its divisors is an integer number (3748430400).

Almost surely, 2^{1365464604672} is an apocalyptic number.

1365464604672 is a gapful number since it is divisible by the number (12) 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 1365464604672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2518945228800).

1365464604672 is an abundant number, since it is smaller than the sum of its proper divisors (3672425852928).

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

1365464604672 is an equidigital number, since it uses as much as digits as its factorization.

1365464604672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 1365464604672 in words is "one trillion, three hundred sixty-five billion, four hundred sixty-four million, six hundred four thousand, six hundred seventy-two".