12468053606400 has 1440 divisors, whose sum is σ = 53361562320000. Its totient is φ = 2845877207040.

The previous prime is 12468053606387. The next prime is 12468053606479. The reversal of 12468053606400 is 460635086421.

12468053606400 is a `hidden beast` number, since 1 + 246 + 8 + 0 + 5 + 360 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×12468053606400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17340825241 + ... + 17340825959.

It is an arithmetic number, because the mean of its divisors is an integer number (37056640500).

Almost surely, 2^{12468053606400} is an apocalyptic number.

12468053606400 is a gapful number since it is divisible by the number (10) 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 12468053606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26680781160000).

12468053606400 is an abundant number, since it is smaller than the sum of its proper divisors (40893508713600).

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

12468053606400 is an frugal number, since it uses more digits than its factorization.

12468053606400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 12468053606400 in words is "twelve trillion, four hundred sixty-eight billion, fifty-three million, six hundred six thousand, four hundred".