5766248936448 has 3168 divisors, whose sum is σ = 24488476508160. Its totient is φ = 1309453516800.

The previous prime is 5766248936443. The next prime is 5766248936471. The reversal of 5766248936448 is 8446398426675.

5766248936448 is a `hidden beast` number, since 5 + 76 + 6 + 2 + 4 + 89 + 36 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a super-2 number, since 2×5766248936448² (a number of 26 digits) contains 22 as substring.

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

Its product of digits (1672151040) is a multiple of the sum of its prime factors (162).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5766248936443) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 122686147561 + ... + 122686147607.

Almost surely, 2^{5766248936448} 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 5766248936448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12244238254080).

5766248936448 is an abundant number, since it is smaller than the sum of its proper divisors (18722227571712).

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

5766248936448 is a wasteful number, since it uses less digits than its factorization.

5766248936448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 114 counting only the distinct ones).

The product of its digits is 1672151040, while the sum is 72.

The spelling of 5766248936448 in words is "five trillion, seven hundred sixty-six billion, two hundred forty-eight million, nine hundred thirty-six thousand, four hundred forty-eight".