57449134481256 has 256 divisors, whose sum is σ = 186226223040000. Its totient is φ = 16402924016640.

The previous prime is 57449134481227. The next prime is 57449134481273. The reversal of 57449134481256 is 65218443194475.

57449134481256 is a `hidden beast` number, since 5 + 7 + 4 + 491 + 3 + 44 + 81 + 25 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 57449134481193 and 57449134481202.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109462540 + ... + 109986116.

It is an arithmetic number, because the mean of its divisors is an integer number (727446183750).

Almost surely, 2^{57449134481256} is an apocalyptic number.

57449134481256 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 57449134481256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93113111520000).

57449134481256 is an abundant number, since it is smaller than the sum of its proper divisors (128777088558744).

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

57449134481256 is a wasteful number, since it uses less digits than its factorization.

57449134481256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525094 (or 525070 counting only the distinct ones).

The product of its digits is 116121600, while the sum is 63.

The spelling of 57449134481256 in words is "fifty-seven trillion, four hundred forty-nine billion, one hundred thirty-four million, four hundred eighty-one thousand, two hundred fifty-six".