12430698262164 has 1440 divisors, whose sum is σ = 43964603168640. Its totient is φ = 3026332108800.

The previous prime is 12430698262153. The next prime is 12430698262219. The reversal of 12430698262164 is 46126289603421.

12430698262164 is a `hidden beast` number, since 1 + 2 + 4 + 3 + 0 + 6 + 9 + 8 + 2 + 621 + 6 + 4 = 666.

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 12430698262164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 37554979479 + ... + 37554979809.

Almost surely, 2^{12430698262164} is an apocalyptic number.

12430698262164 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 12430698262164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21982301584320).

12430698262164 is an abundant number, since it is smaller than the sum of its proper divisors (31533904906476).

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

12430698262164 is a wasteful number, since it uses less digits than its factorization.

12430698262164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 12430698262164 in words is "twelve trillion, four hundred thirty billion, six hundred ninety-eight million, two hundred sixty-two thousand, one hundred sixty-four".