12754736989344 has 384 divisors, whose sum is σ = 45974538731520. Its totient is φ = 3356868538368.

The previous prime is 12754736989231. The next prime is 12754736989387. The reversal of 12754736989344 is 44398963745721.

12754736989344 is a `hidden beast` number, since 1 + 2 + 7 + 5 + 473 + 69 + 8 + 93 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3512629 + ... + 6152075.

It is an arithmetic number, because the mean of its divisors is an integer number (119725361280).

Almost surely, 2^{12754736989344} is an apocalyptic number.

12754736989344 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 12754736989344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22987269365760).

12754736989344 is an abundant number, since it is smaller than the sum of its proper divisors (33219801742176).

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

12754736989344 is a wasteful number, since it uses less digits than its factorization.

12754736989344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2639537 (or 2639523 counting only the distinct ones).

The product of its digits is 1097349120, while the sum is 72.

The spelling of 12754736989344 in words is "twelve trillion, seven hundred fifty-four billion, seven hundred thirty-six million, nine hundred eighty-nine thousand, three hundred forty-four".