12328178872464 has 240 divisors, whose sum is σ = 42468245025024. Its totient is φ = 3251041920000.

The previous prime is 12328178872463. The next prime is 12328178872469. The reversal of 12328178872464 is 46427887182321.

12328178872464 is a `hidden beast` number, since 1 + 2 + 3 + 28 + 1 + 7 + 88 + 72 + 464 = 666.

It is a super-2 number, since 2×12328178872464² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12328178872463) 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 47 ways as a sum of consecutive naturals, for example, 137560309 + ... + 137649899.

Almost surely, 2^{12328178872464} is an apocalyptic number.

12328178872464 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 12328178872464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21234122512512).

12328178872464 is an abundant number, since it is smaller than the sum of its proper divisors (30140066152560).

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

12328178872464 is a wasteful number, since it uses less digits than its factorization.

12328178872464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100126 (or 100117 counting only the distinct ones).

The product of its digits is 57802752, while the sum is 63.

The spelling of 12328178872464 in words is "twelve trillion, three hundred twenty-eight billion, one hundred seventy-eight million, eight hundred seventy-two thousand, four hundred sixty-four".