12361485731328 has 320 divisors, whose sum is σ = 36972224340480. Its totient is φ = 4077606887424.

The previous prime is 12361485731311. The next prime is 12361485731341. The reversal of 12361485731328 is 82313758416321.

12361485731328 is a `hidden beast` number, since 1 + 2 + 3 + 6 + 1 + 48 + 573 + 1 + 3 + 28 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3151026775 + ... + 3151030697.

It is an arithmetic number, because the mean of its divisors is an integer number (115538201064).

Almost surely, 2^{12361485731328} is an apocalyptic number.

12361485731328 is a gapful number since it is divisible by the number (18) 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 12361485731328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18486112170240).

12361485731328 is an abundant number, since it is smaller than the sum of its proper divisors (24610738609152).

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

12361485731328 is a wasteful number, since it uses less digits than its factorization.

12361485731328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6266 (or 6244 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 12361485731328 in words is "twelve trillion, three hundred sixty-one billion, four hundred eighty-five million, seven hundred thirty-one thousand, three hundred twenty-eight".