1364666075136 has 2304 divisors, whose sum is σ = 5590307923200. Its totient is φ = 324620255232.

The previous prime is 1364666075117. The next prime is 1364666075137. The reversal of 1364666075136 is 6315706664631.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is not an unprimeable number, because it can be changed into a prime (1364666075137) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25748416486 + ... + 25748416538.

It is an arithmetic number, because the mean of its divisors is an integer number (2426348925).

Almost surely, 2^{1364666075136} is an apocalyptic number.

1364666075136 is a gapful number since it is divisible by the number (16) 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 1364666075136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2795153961600).

1364666075136 is an abundant number, since it is smaller than the sum of its proper divisors (4225641848064).

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

1364666075136 is a wasteful number, since it uses less digits than its factorization.

1364666075136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 1364666075136 in words is "one trillion, three hundred sixty-four billion, six hundred sixty-six million, seventy-five thousand, one hundred thirty-six".