12398138306064 has 1080 divisors, whose sum is σ = 45687984844320. Its totient is φ = 3208932308736.

The previous prime is 12398138306027. The next prime is 12398138306101. The reversal of 12398138306064 is 46060383189321.

12398138306064 is a `hidden beast` number, since 1 + 2 + 398 + 138 + 3 + 0 + 60 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (12398138306027) and next prime (12398138306101).

It is a super-2 number, since 2×12398138306064² (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12398138306064.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4042430259 + ... + 4042433325.

Almost surely, 2^{12398138306064} is an apocalyptic number.

12398138306064 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 12398138306064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22843992422160).

12398138306064 is an abundant number, since it is smaller than the sum of its proper divisors (33289846538256).

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

12398138306064 is a wasteful number, since it uses less digits than its factorization.

12398138306064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3182 (or 3121 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 12398138306064 in words is "twelve trillion, three hundred ninety-eight billion, one hundred thirty-eight million, three hundred six thousand, sixty-four".