57446112240 has 240 divisors, whose sum is σ = 210619599840. Its totient is φ = 13915883520.

The previous prime is 57446112239. The next prime is 57446112263. The reversal of 57446112240 is 4221164475.

57446112240 is a `hidden beast` number, since 5 + 74 + 461 + 122 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×57446112240² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 57446112195 and 57446112204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18475806 + ... + 18478914.

It is an arithmetic number, because the mean of its divisors is an integer number (877581666).

Almost surely, 2^57446112240 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 57446112240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105309799920).

57446112240 is an abundant number, since it is smaller than the sum of its proper divisors (153173487600).

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

57446112240 is a wasteful number, since it uses less digits than its factorization.

57446112240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5472 (or 5463 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 57446112240 in words is "fifty-seven billion, four hundred forty-six million, one hundred twelve thousand, two hundred forty".