57118246416 has 1280 divisors, whose sum is σ = 231928012800. Its totient is φ = 13168189440.

The previous prime is 57118246403. The next prime is 57118246429. The reversal of 57118246416 is 61464281175.

57118246416 is a `hidden beast` number, since 5 + 7 + 1 + 182 + 464 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (57118246403) and next prime (57118246429).

Its product of digits (322560) is a multiple of the sum of its prime divisors (112).

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 1328331291 + ... + 1328331333.

It is an arithmetic number, because the mean of its divisors is an integer number (181193760).

Almost surely, 2^57118246416 is an apocalyptic number.

57118246416 is a gapful number since it is divisible by the number (56) 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 57118246416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115964006400).

57118246416 is an abundant number, since it is smaller than the sum of its proper divisors (174809766384).

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

57118246416 is a wasteful number, since it uses less digits than its factorization.

57118246416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 112 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 57118246416 in words is "fifty-seven billion, one hundred eighteen million, two hundred forty-six thousand, four hundred sixteen".