1360465146144 has 576 divisors, whose sum is σ = 4416064773120. Its totient is φ = 394149888000.

The previous prime is 1360465146109. The next prime is 1360465146149. The reversal of 1360465146144 is 4416415640631.

1360465146144 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 465 + 1 + 46 + 144 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1360465146144.

It is not an unprimeable number, because it can be changed into a prime (1360465146149) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1811537769 + ... + 1811538519.

It is an arithmetic number, because the mean of its divisors is an integer number (7666779120).

Almost surely, 2^{1360465146144} 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 1360465146144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208032386560).

1360465146144 is an abundant number, since it is smaller than the sum of its proper divisors (3055599626976).

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

1360465146144 is a wasteful number, since it uses less digits than its factorization.

1360465146144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 1360465146144 in words is "one trillion, three hundred sixty billion, four hundred sixty-five million, one hundred forty-six thousand, one hundred forty-four".