12499292149344 has 2304 divisors, whose sum is σ = 50726832629760. Its totient is φ = 2906676264960.

The previous prime is 12499292149339. The next prime is 12499292149373. The reversal of 12499292149344 is 44394129299421.

12499292149344 is a `hidden beast` number, since 1 + 2 + 499 + 2 + 9 + 2 + 14 + 93 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 79613325714 + ... + 79613325870.

It is an arithmetic number, because the mean of its divisors is an integer number (22016854440).

Almost surely, 2^{12499292149344} is an apocalyptic number.

12499292149344 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 12499292149344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25363416314880).

12499292149344 is an abundant number, since it is smaller than the sum of its proper divisors (38227540480416).

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

12499292149344 is a wasteful number, since it uses less digits than its factorization.

12499292149344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 363 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 63.

The spelling of 12499292149344 in words is "twelve trillion, four hundred ninety-nine billion, two hundred ninety-two million, one hundred forty-nine thousand, three hundred forty-four".