457358600771136 has 819 divisors, whose sum is σ = 1444259981942001. Its totient is φ = 143680694870016.

The previous prime is 457358600771131. The next prime is 457358600771143. The reversal of 457358600771136 is 631177006853754.

The square root of 457358600771136 is 21385944.

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

457358600771136 is a `hidden beast` number, since 4 + 5 + 7 + 3 + 5 + 8 + 600 + 7 + 7 + 1 + 13 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 110812676097600 + 346545924673536 = 10526760^2 + 18615744^2 .

It is a super-3 number, since 3×457358600771136³ (a number of 45 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (457358600771131) by changing a digit.

It is a polite number, since it can be written in 116 ways as a sum of consecutive naturals, for example, 2369733682656 + ... + 2369733682848.

Almost surely, 2^{457358600771136} is an apocalyptic number.

457358600771136 is the 21385944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457358600771136

457358600771136 is an abundant number, since it is smaller than the sum of its proper divisors (986901381170865).

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

457358600771136 is an frugal number, since it uses more digits than its factorization.

457358600771136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 88905600, while the sum is 63.

The spelling of 457358600771136 in words is "four hundred fifty-seven trillion, three hundred fifty-eight billion, six hundred million, seven hundred seventy-one thousand, one hundred thirty-six".