896638548100 has 135 divisors (see below), whose sum is σ = 2045573931877. Its totient is φ = 341145159520.

The previous prime is 896638548083. The next prime is 896638548107. The reversal of 896638548100 is 1845836698.

The square root of 896638548100 is 946910.

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

It can be written as a sum of positive squares in only one way, i.e., 322789877316 + 573848670784 = 568146^2 + 757528^2 .

It is a super-2 number, since 2×896638548100² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (896638548107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5009153811 + ... + 5009153989.

Almost surely, 2^896638548100 is an apocalyptic number.

896638548100 is the 946910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 896638548100

896638548100 is an abundant number, since it is smaller than the sum of its proper divisors (1148935383777).

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

896638548100 is an frugal number, since it uses more digits than its factorization.

896638548100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 58.

The spelling of 896638548100 in words is "eight hundred ninety-six billion, six hundred thirty-eight million, five hundred forty-eight thousand, one hundred".