48316436100 has 243 divisors, whose sum is σ = 161251889071. Its totient is φ = 12098342400.

The previous prime is 48316436071. The next prime is 48316436111. The reversal of 48316436100 is 163461384.

It is a happy number.

The square root of 48316436100 is 219810.

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

48316436100 is a `hidden beast` number, since 4 + 8 + 3 + 1 + 643 + 6 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1130169924 + 47186266176 = 33618^2 + 217224^2 .

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 112102885 + ... + 112103315.

Almost surely, 2^48316436100 is an apocalyptic number.

48316436100 is the 219810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48316436100

48316436100 is an abundant number, since it is smaller than the sum of its proper divisors (112935452971).

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

48316436100 is a wasteful number, since it uses less digits than its factorization.

48316436100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Multiplying 48316436100 by its sum of digits (36), we get a square (1739391699600 = 1318860²).

48316436100 divided by its sum of digits (36) gives a square (1342123225 = 36635²).

Adding to 48316436100 its reverse (163461384), we get a palindrome (48479897484).

It can be divided in two parts, 48316 and 436100, that added together give a square (484416 = 696²).

The spelling of 48316436100 in words is "forty-eight billion, three hundred sixteen million, four hundred thirty-six thousand, one hundred".