12493677162240 has 432 divisors, whose sum is σ = 46155273196032. Its totient is φ = 3112678711296.

The previous prime is 12493677162227. The next prime is 12493677162257. The reversal of 12493677162240 is 4226177639421.

12493677162240 is a `hidden beast` number, since 1 + 2 + 4 + 9 + 3 + 6 + 7 + 7 + 1 + 622 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10844989 + ... + 11941571.

It is an arithmetic number, because the mean of its divisors is an integer number (106840910176).

Almost surely, 2^{12493677162240} is an apocalyptic number.

12493677162240 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 12493677162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23077636598016).

12493677162240 is an abundant number, since it is smaller than the sum of its proper divisors (33661596033792).

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

12493677162240 is a wasteful number, since it uses less digits than its factorization.

12493677162240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096676 (or 1096659 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 12493677162240 in words is "twelve trillion, four hundred ninety-three billion, six hundred seventy-seven million, one hundred sixty-two thousand, two hundred forty".