12375615648 has 384 divisors, whose sum is σ = 39086530560. Its totient is φ = 3386880000.

The previous prime is 12375615641. The next prime is 12375615671. The reversal of 12375615648 is 84651657321.

It is a super-3 number, since 3×12375615648³ (a number of 31 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 12375615597 and 12375615606.

It is not an unprimeable number, because it can be changed into a prime (12375615641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62820286 + ... + 62820482.

It is an arithmetic number, because the mean of its divisors is an integer number (101787840).

Almost surely, 2^12375615648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12375615648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19543265280).

12375615648 is an abundant number, since it is smaller than the sum of its proper divisors (26710914912).

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

12375615648 is a wasteful number, since it uses less digits than its factorization.

12375615648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 364 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The spelling of 12375615648 in words is "twelve billion, three hundred seventy-five million, six hundred fifteen thousand, six hundred forty-eight".