12345235166352 has 240 divisors, whose sum is σ = 36358630773696. Its totient is φ = 3603828096000.

The previous prime is 12345235166309. The next prime is 12345235166371. The reversal of 12345235166352 is 25366153254321.

It is a super-2 number, since 2×12345235166352² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21420103 + ... + 21988889.

Almost surely, 2^{12345235166352} is an apocalyptic number.

12345235166352 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 12345235166352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18179315386848).

12345235166352 is an abundant number, since it is smaller than the sum of its proper divisors (24013395607344).

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

12345235166352 is a wasteful number, since it uses less digits than its factorization.

12345235166352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568958 (or 568941 counting only the distinct ones).

The product of its digits is 3888000, while the sum is 48.

The spelling of 12345235166352 in words is "twelve trillion, three hundred forty-five billion, two hundred thirty-five million, one hundred sixty-six thousand, three hundred fifty-two".