49264144900 has 72 divisors (see below), whose sum is σ = 108584003304. Its totient is φ = 19396915200.

The previous prime is 49264144879. The next prime is 49264144901. The reversal of 49264144900 is 944146294.

It can be written as a sum of positive squares in 12 ways, for example, as 27686297664 + 21577847236 = 166392^2 + 146894^2 .

It is not an unprimeable number, because it can be changed into a prime (49264144901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3796824 + ... + 3809776.

It is an arithmetic number, because the mean of its divisors is an integer number (1508111157).

Almost surely, 2^49264144900 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 49264144900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54292001652).

49264144900 is an abundant number, since it is smaller than the sum of its proper divisors (59319858404).

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

49264144900 is a wasteful number, since it uses less digits than its factorization.

49264144900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13561 (or 13554 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The spelling of 49264144900 in words is "forty-nine billion, two hundred sixty-four million, one hundred forty-four thousand, nine hundred".