1364741314560 has 1152 divisors, whose sum is σ = 5409016704000. Its totient is φ = 315468546048.

The previous prime is 1364741314499. The next prime is 1364741314561. The reversal of 1364741314560 is 654131474631.

1364741314560 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 74 + 1 + 3 + 14 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1364741314561) 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, 3801507661 + ... + 3801508019.

It is an arithmetic number, because the mean of its divisors is an integer number (4695327000).

Almost surely, 2^{1364741314560} is an apocalyptic number.

1364741314560 is a gapful number since it is divisible by the number (10) 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 1364741314560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2704508352000).

1364741314560 is an abundant number, since it is smaller than the sum of its proper divisors (4044275389440).

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

1364741314560 is a wasteful number, since it uses less digits than its factorization.

1364741314560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 1364741314560 in words is "one trillion, three hundred sixty-four billion, seven hundred forty-one million, three hundred fourteen thousand, five hundred sixty".