47877816100 has 27 divisors (see below), whose sum is σ = 103899609331. Its totient is φ = 19150251200.

The previous prime is 47877816097. The next prime is 47877816109. The reversal of 47877816100 is 161877874.

It is a happy number.

The square root of 47877816100 is 218810.

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

It can be written as a sum of positive squares in 4 ways, for example, as 26606176996 + 21271639104 = 163114^2 + 145848^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47877816109) 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, 2177160 + ... + 2199040.

Almost surely, 2^47877816100 is an apocalyptic number.

47877816100 is the 218810-th square number.

It is an amenable number.

47877816100 is an abundant number, since it is smaller than the sum of its proper divisors (56021793231).

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

47877816100 is an frugal number, since it uses more digits than its factorization.

47877816100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43776 (or 21888 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 49.

Multiplying 47877816100 by its sum of digits (49), we get a square (2346012988900 = 1531670²).

The spelling of 47877816100 in words is "forty-seven billion, eight hundred seventy-seven million, eight hundred sixteen thousand, one hundred".