1323684069408 has 192 divisors, whose sum is σ = 3874896506880. Its totient is φ = 439613374464.

The previous prime is 1323684069401. The next prime is 1323684069431. The reversal of 1323684069408 is 8049604863231.

1323684069408 is a `hidden beast` number, since 132 + 3 + 6 + 8 + 40 + 69 + 408 = 666.

It is a super-2 number, since 2×1323684069408² (a number of 25 digits) contains 22 as substring.

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 (1323684069401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 480813760 + ... + 480816512.

It is an arithmetic number, because the mean of its divisors is an integer number (20181752640).

Almost surely, 2^{1323684069408} is an apocalyptic number.

1323684069408 is a gapful number since it is divisible by the number (18) 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 1323684069408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937448253440).

1323684069408 is an abundant number, since it is smaller than the sum of its proper divisors (2551212437472).

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

1323684069408 is a wasteful number, since it uses less digits than its factorization.

1323684069408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4608 (or 4594 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 1323684069408 in words is "one trillion, three hundred twenty-three billion, six hundred eighty-four million, sixty-nine thousand, four hundred eight".