56743903294848 has 576 divisors, whose sum is σ = 214358639274000. Its totient is φ = 14230441451520.

The previous prime is 56743903294843. The next prime is 56743903294879. The reversal of 56743903294848 is 84849230934765.

56743903294848 is a `hidden beast` number, since 5 + 6 + 74 + 390 + 3 + 2 + 94 + 84 + 8 = 666.

56743903294848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×56743903294848² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56743903294843) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 16431298 + ... + 19582526.

Almost surely, 2^{56743903294848} is an apocalyptic number.

56743903294848 is a gapful number since it is divisible by the number (58) 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 56743903294848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107179319637000).

56743903294848 is an abundant number, since it is smaller than the sum of its proper divisors (157614735979152).

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

56743903294848 is a wasteful number, since it uses less digits than its factorization.

56743903294848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3151303 (or 3151281 counting only the distinct ones).

The product of its (nonzero) digits is 1254113280, while the sum is 72.

The spelling of 56743903294848 in words is "fifty-six trillion, seven hundred forty-three billion, nine hundred three million, two hundred ninety-four thousand, eight hundred forty-eight".