12495961368 has 480 divisors, whose sum is σ = 40878794880. Its totient is φ = 3558297600.

The previous prime is 12495961327. The next prime is 12495961381. The reversal of 12495961368 is 86316959421.

12495961368 is a `hidden beast` number, since 1 + 2 + 49 + 596 + 1 + 3 + 6 + 8 = 666.

It is a super-2 number, since 2×12495961368² (a number of 21 digits) contains 22 as substring.

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 119 ways as a sum of consecutive naturals, for example, 128824296 + ... + 128824392.

It is an arithmetic number, because the mean of its divisors is an integer number (85164156).

Almost surely, 2^12495961368 is an apocalyptic number.

12495961368 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 12495961368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20439397440).

12495961368 is an abundant number, since it is smaller than the sum of its proper divisors (28382833512).

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

12495961368 is a wasteful number, since it uses less digits than its factorization.

12495961368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 197 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 12495961368 in words is "twelve billion, four hundred ninety-five million, nine hundred sixty-one thousand, three hundred sixty-eight".