12357635800608 has 216 divisors, whose sum is σ = 41012672933232. Its totient is φ = 3519251027712.

The previous prime is 12357635800597. The next prime is 12357635800639. The reversal of 12357635800608 is 80600853675321.

12357635800608 is a `hidden beast` number, since 1 + 2 + 3 + 57 + 6 + 3 + 580 + 0 + 6 + 0 + 8 = 666.

It is a super-2 number, since 2×12357635800608² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2906191 + ... + 5758577.

It is an arithmetic number, because the mean of its divisors is an integer number (189873485802).

Almost surely, 2^{12357635800608} is an apocalyptic number.

12357635800608 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 12357635800608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20506336466616).

12357635800608 is an abundant number, since it is smaller than the sum of its proper divisors (28655037132624).

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

12357635800608 is a wasteful number, since it uses less digits than its factorization.

12357635800608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2852724 (or 2852706 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 12357635800608 in words is "twelve trillion, three hundred fifty-seven billion, six hundred thirty-five million, eight hundred thousand, six hundred eight".