57444049152 has 864 divisors, whose sum is σ = 212133841920. Its totient is φ = 15138938880.

The previous prime is 57444049139. The next prime is 57444049163. The reversal of 57444049152 is 25194044475.

57444049152 is a `hidden beast` number, since 5 + 74 + 4 + 40 + 491 + 52 = 666.

57444049152 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 (864).

It is a super-3 number, since 3×57444049152³ (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 57444049098 and 57444049107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 438504127 + ... + 438504257.

It is an arithmetic number, because the mean of its divisors is an integer number (245525280).

Almost surely, 2^57444049152 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 57444049152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106066920960).

57444049152 is an abundant number, since it is smaller than the sum of its proper divisors (154689792768).

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

57444049152 is a wasteful number, since it uses less digits than its factorization.

57444049152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 57444049152 in words is "fifty-seven billion, four hundred forty-four million, forty-nine thousand, one hundred fifty-two".