1298541616128 has 264 divisors, whose sum is σ = 3995808979968. Its totient is φ = 405215551488.

The previous prime is 1298541616123. The next prime is 1298541616247. The reversal of 1298541616128 is 8216161458921.

1298541616128 is a `hidden beast` number, since 1 + 2 + 9 + 8 + 5 + 4 + 1 + 616 + 12 + 8 = 666.

It is a super-3 number, since 3×1298541616128³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1298541616123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9897325 + ... + 10027667.

Almost surely, 2^{1298541616128} is an apocalyptic number.

1298541616128 is a gapful number since it is divisible by the number (18) 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 1298541616128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997904489984).

1298541616128 is an abundant number, since it is smaller than the sum of its proper divisors (2697267363840).

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

1298541616128 is a wasteful number, since it uses less digits than its factorization.

1298541616128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130439 (or 130418 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 54.

The spelling of 1298541616128 in words is "one trillion, two hundred ninety-eight billion, five hundred forty-one million, six hundred sixteen thousand, one hundred twenty-eight".