12754394763264 has 1872 divisors, whose sum is σ = 49253565522560. Its totient is φ = 3232029081600.

The previous prime is 12754394763239. The next prime is 12754394763269. The reversal of 12754394763264 is 46236749345721.

12754394763264 is a `hidden beast` number, since 1 + 2 + 7 + 543 + 9 + 4 + 7 + 63 + 26 + 4 = 666.

It is a super-2 number, since 2×12754394763264² (a number of 27 digits) contains 22 as substring.

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

Its product of digits (182891520) is a multiple of the sum of its prime divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12754394763269) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 311082799084 + ... + 311082799124.

Almost surely, 2^{12754394763264} is an apocalyptic number.

12754394763264 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 12754394763264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24626782761280).

12754394763264 is an abundant number, since it is smaller than the sum of its proper divisors (36499170759296).

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

12754394763264 is an frugal number, since it uses more digits than its factorization.

12754394763264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 64 counting only the distinct ones).

The product of its digits is 182891520, while the sum is 63.

The spelling of 12754394763264 in words is "twelve trillion, seven hundred fifty-four billion, three hundred ninety-four million, seven hundred sixty-three thousand, two hundred sixty-four".