1323534385152 has 228 divisors, whose sum is σ = 4369810510416. Its totient is φ = 378147962880.

The previous prime is 1323534385091. The next prime is 1323534385153. The reversal of 1323534385152 is 2515834353231.

1323534385152 is a `hidden beast` number, since 1 + 3 + 23 + 534 + 3 + 85 + 15 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1323534385098 and 1323534385107.

It is not an unprimeable number, because it can be changed into a prime (1323534385153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16475002 + ... + 16555142.

It is an arithmetic number, because the mean of its divisors is an integer number (19165835572).

Almost surely, 2^{1323534385152} is an apocalyptic number.

1323534385152 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 1323534385152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184905255208).

1323534385152 is an abundant number, since it is smaller than the sum of its proper divisors (3046276125264).

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

1323534385152 is an frugal number, since it uses more digits than its factorization.

1323534385152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80190 (or 80153 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 45.

The spelling of 1323534385152 in words is "one trillion, three hundred twenty-three billion, five hundred thirty-four million, three hundred eighty-five thousand, one hundred fifty-two".