57744949248 has 648 divisors, whose sum is σ = 206679832632. Its totient is φ = 16052649984.

The previous prime is 57744949247. The next prime is 57744949267. The reversal of 57744949248 is 84294944775.

57744949248 is a `hidden beast` number, since 57 + 7 + 4 + 494 + 92 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (81285120) is a multiple of the sum of its prime divisors (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57744949243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1560674286 + ... + 1560674322.

It is an arithmetic number, because the mean of its divisors is an integer number (318950359).

Almost surely, 2^57744949248 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 57744949248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103339916316).

57744949248 is an abundant number, since it is smaller than the sum of its proper divisors (148934883384).

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

57744949248 is an frugal number, since it uses more digits than its factorization.

57744949248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 49 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 63.

The spelling of 57744949248 in words is "fifty-seven billion, seven hundred forty-four million, nine hundred forty-nine thousand, two hundred forty-eight".