57781145134881 has 189 divisors, whose sum is σ = 103668764256099. Its totient is φ = 32095870113888.

The previous prime is 57781145134873. The next prime is 57781145134897. The reversal of 57781145134881 is 18843154118775.

The square root of 57781145134881 is 7601391.

It is a perfect power (a square), and thus also a powerful number.

57781145134881 is a `hidden beast` number, since 5 + 7 + 7 + 8 + 1 + 145 + 1 + 3 + 488 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 51703362155025 + 6077782979856 = 7190505^2 + 2465316^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 57781145134881 - 2³ = 57781145134873 is a prime.

It is a super-2 number, since 2×57781145134881² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (57781145134381) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 53156526720 + ... + 53156527806.

It is an arithmetic number, because the mean of its divisors is an integer number (548511980191).

Almost surely, 2^{57781145134881} is an apocalyptic number.

57781145134881 is the 7601391-st square number.

57781145134881 is the 3800696-th centered octagonal number.

It is an amenable number.

57781145134881 is a deficient number, since it is larger than the sum of its proper divisors (45887619121218).

57781145134881 is an frugal number, since it uses more digits than its factorization.

57781145134881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280 (or 1134 counting only the distinct ones).

The product of its digits is 30105600, while the sum is 63.

The spelling of 57781145134881 in words is "fifty-seven trillion, seven hundred eighty-one billion, one hundred forty-five million, one hundred thirty-four thousand, eight hundred eighty-one".