1318164923712 has 1344 divisors, whose sum is σ = 4797834854400. Its totient is φ = 311448084480.

The previous prime is 1318164923707. The next prime is 1318164923717. The reversal of 1318164923712 is 2173294618131.

It is an interprime number because it is at equal distance from previous prime (1318164923707) and next prime (1318164923717).

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

It is a super-2 number, since 2×1318164923712² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (435456) is a multiple of the sum of its prime factors (324).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1318164923717) 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, 7893203053 + ... + 7893203219.

It is an arithmetic number, because the mean of its divisors is an integer number (3569817600).

Almost surely, 2^{1318164923712} is an apocalyptic number.

1318164923712 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 1318164923712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2398917427200).

1318164923712 is an abundant number, since it is smaller than the sum of its proper divisors (3479669930688).

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

1318164923712 is a wasteful number, since it uses less digits than its factorization.

1318164923712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 301 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The spelling of 1318164923712 in words is "one trillion, three hundred eighteen billion, one hundred sixty-four million, nine hundred twenty-three thousand, seven hundred twelve".