12315801157632 has 1520 divisors, whose sum is σ = 45675883440000. Its totient is φ = 3296144130048.

The previous prime is 12315801157553. The next prime is 12315801157637. The reversal of 12315801157632 is 23675110851321.

12315801157632 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 5 + 8 + 0 + 1 + 1 + 5 + 7 + 632 = 666.

It is a super-2 number, since 2×12315801157632² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12315801157637) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 138379788244 + ... + 138379788332.

Almost surely, 2^{12315801157632} is an apocalyptic number.

12315801157632 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 12315801157632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22837941720000).

12315801157632 is an abundant number, since it is smaller than the sum of its proper divisors (33360082282368).

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

12315801157632 is an frugal number, since it uses more digits than its factorization.

12315801157632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 12315801157632 in words is "twelve trillion, three hundred fifteen billion, eight hundred one million, one hundred fifty-seven thousand, six hundred thirty-two".