12874489056 has 288 divisors, whose sum is σ = 44454281760. Its totient is φ = 3600875520.

The previous prime is 12874488971. The next prime is 12874489057. The reversal of 12874489056 is 65098447821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×12874489056² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12874488993 and 12874489011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12874489057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1354336 + ... + 1363808.

It is an arithmetic number, because the mean of its divisors is an integer number (154355145).

Almost surely, 2^12874489056 is an apocalyptic number.

12874489056 is a gapful number since it is divisible by the number (16) 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 12874489056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22227140880).

12874489056 is an abundant number, since it is smaller than the sum of its proper divisors (31579792704).

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

12874489056 is a wasteful number, since it uses less digits than its factorization.

12874489056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9527 (or 9502 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 12874489056 in words is "twelve billion, eight hundred seventy-four million, four hundred eighty-nine thousand, fifty-six".