46725236100 has 288 divisors, whose sum is σ = 160639718400. Its totient is φ = 11609856000.

The previous prime is 46725236087. The next prime is 46725236143. The reversal of 46725236100 is 163252764.

46725236100 is a `hidden beast` number, since 4 + 6 + 72 + 523 + 61 + 0 + 0 = 666.

It is a super-4 number, since 4×46725236100⁴ (a number of 44 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4630861 + ... + 4640939.

It is an arithmetic number, because the mean of its divisors is an integer number (557776800).

Almost surely, 2^46725236100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46725236100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80319859200).

46725236100 is an abundant number, since it is smaller than the sum of its proper divisors (113914482300).

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

46725236100 is a wasteful number, since it uses less digits than its factorization.

46725236100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10220 (or 10207 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 46725236100 its reverse (163252764), we get a palindrome (46888488864).

The spelling of 46725236100 in words is "forty-six billion, seven hundred twenty-five million, two hundred thirty-six thousand, one hundred".