13554128441232 has 240 divisors, whose sum is σ = 38981904998400. Its totient is φ = 4394824904448.

The previous prime is 13554128441107. The next prime is 13554128441297. The reversal of 13554128441232 is 23214482145531.

13554128441232 is a `hidden beast` number, since 1 + 3 + 5 + 54 + 128 + 441 + 2 + 32 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2824362769 + ... + 2824367567.

It is an arithmetic number, because the mean of its divisors is an integer number (162424604160).

Almost surely, 2^{13554128441232} is an apocalyptic number.

13554128441232 is a gapful number since it is divisible by the number (12) 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 13554128441232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19490952499200).

13554128441232 is an abundant number, since it is smaller than the sum of its proper divisors (25427776557168).

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

13554128441232 is a wasteful number, since it uses less digits than its factorization.

13554128441232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8490 (or 8481 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The spelling of 13554128441232 in words is "thirteen trillion, five hundred fifty-four billion, one hundred twenty-eight million, four hundred forty-one thousand, two hundred thirty-two".