12348385152264 has 1024 divisors, whose sum is σ = 44058193920000. Its totient is φ = 3121959075840.

The previous prime is 12348385152263. The next prime is 12348385152277. The reversal of 12348385152264 is 46225158384321.

12348385152264 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 8 + 3 + 8 + 51 + 522 + 64 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12348385152264.

It is not an unprimeable number, because it can be changed into a prime (12348385152263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9073022944 + ... + 9073024304.

It is an arithmetic number, because the mean of its divisors is an integer number (43025580000).

Almost surely, 2^{12348385152264} is an apocalyptic number.

12348385152264 is a gapful number since it is divisible by the number (14) 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 12348385152264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22029096960000).

12348385152264 is an abundant number, since it is smaller than the sum of its proper divisors (31709808767736).

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

12348385152264 is a wasteful number, since it uses less digits than its factorization.

12348385152264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675 (or 1665 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 54.

The spelling of 12348385152264 in words is "twelve trillion, three hundred forty-eight billion, three hundred eighty-five million, one hundred fifty-two thousand, two hundred sixty-four".