1364114140704 has 432 divisors, whose sum is σ = 4713066842400. Its totient is φ = 382622558976.

The previous prime is 1364114140703. The next prime is 1364114140721. The reversal of 1364114140704 is 4070414114631.

1364114140704 is a `hidden beast` number, since 1 + 3 + 641 + 1 + 4 + 1 + 4 + 0 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×1364114140704² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1364114140703) 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, 1845891567 + ... + 1845892305.

It is an arithmetic number, because the mean of its divisors is an integer number (10909876950).

Almost surely, 2^{1364114140704} is an apocalyptic number.

1364114140704 is a gapful number since it is divisible by the number (14) 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 1364114140704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2356533421200).

1364114140704 is an abundant number, since it is smaller than the sum of its proper divisors (3348952701696).

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

1364114140704 is an frugal number, since it uses more digits than its factorization.

1364114140704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 1364114140704 in words is "one trillion, three hundred sixty-four billion, one hundred fourteen million, one hundred forty thousand, seven hundred four".