4814972100 has 189 divisors, whose sum is σ = 15726760567. Its totient is φ = 1278996480.

The previous prime is 4814972089. The next prime is 4814972117. The reversal of 4814972100 is 12794184.

The square root of 4814972100 is 69390.

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

4814972100 is a `hidden beast` number, since 481 + 4 + 9 + 72 + 100 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1183222404 + 3631749696 = 34398^2 + 60264^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 18735172 + ... + 18735428.

Almost surely, 2^4814972100 is an apocalyptic number.

4814972100 is the 69390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4814972100

4814972100 is an abundant number, since it is smaller than the sum of its proper divisors (10911788467).

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

4814972100 is an equidigital number, since it uses as much as digits as its factorization.

4814972100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The cubic root of 4814972100 is about 1688.6173932780.

Multiplying 4814972100 by its sum of digits (36), we get a square (173338995600 = 416340²).

4814972100 divided by its sum of digits (36) gives a square (133749225 = 11565²).

The spelling of 4814972100 in words is "four billion, eight hundred fourteen million, nine hundred seventy-two thousand, one hundred".