208766748100 has 27 divisors (see below), whose sum is σ = 453033758541. Its totient is φ = 83504871600.

The previous prime is 208766748061. The next prime is 208766748109. The reversal of 208766748100 is 1847667802.

It is a happy number.

The square root of 208766748100 is 456910.

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., 75156029316 + 133610718784 = 274146^2 + 365528^2 .

It is a super-2 number, since 2×208766748100² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (208766748109) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4546255 + ... + 4591945.

Almost surely, 2^208766748100 is an apocalyptic number.

208766748100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

208766748100 is the 456910-th square number.

It is an amenable number.

208766748100 is an abundant number, since it is smaller than the sum of its proper divisors (244267010441).

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

208766748100 is an frugal number, since it uses more digits than its factorization.

208766748100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91396 (or 45698 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 49.

Multiplying 208766748100 by its sum of digits (49), we get a square (10229570656900 = 3198370²).

The spelling of 208766748100 in words is "two hundred eight billion, seven hundred sixty-six million, seven hundred forty-eight thousand, one hundred".