56432480929344 has 1344 divisors, whose sum is σ = 191640074895360. Its totient is φ = 16344529920000.

The previous prime is 56432480929339. The next prime is 56432480929373. The reversal of 56432480929344 is 44392908423465.

56432480929344 is a `hidden beast` number, since 5 + 6 + 4 + 32 + 480 + 92 + 9 + 34 + 4 = 666.

56432480929344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 191 ways as a sum of consecutive naturals, for example, 37347769549 + ... + 37347771059.

It is an arithmetic number, because the mean of its divisors is an integer number (142589341440).

Almost surely, 2^{56432480929344} is an apocalyptic number.

56432480929344 is a gapful number since it is divisible by the number (54) 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 56432480929344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95820037447680).

56432480929344 is an abundant number, since it is smaller than the sum of its proper divisors (135207593966016).

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

56432480929344 is a wasteful number, since it uses less digits than its factorization.

56432480929344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 63.

The spelling of 56432480929344 in words is "fifty-six trillion, four hundred thirty-two billion, four hundred eighty million, nine hundred twenty-nine thousand, three hundred forty-four".