4153432554656 has 192 divisors, whose sum is σ = 10254123694080. Its totient is φ = 1608823157760.

The previous prime is 4153432554643. The next prime is 4153432554673. The reversal of 4153432554656 is 6564552343514.

It is a junction number, because it is equal to n+sod(n) for n = 4153432554598 and 4153432554607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 419237255 + ... + 419247161.

It is an arithmetic number, because the mean of its divisors is an integer number (53406894240).

Almost surely, 2^{4153432554656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4153432554656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5127061847040).

4153432554656 is an abundant number, since it is smaller than the sum of its proper divisors (6100691139424).

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

4153432554656 is a wasteful number, since it uses less digits than its factorization.

4153432554656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10907 (or 10899 counting only the distinct ones).

The product of its digits is 25920000, while the sum is 53.

The spelling of 4153432554656 in words is "four trillion, one hundred fifty-three billion, four hundred thirty-two million, five hundred fifty-four thousand, six hundred fifty-six".