49153550436 has 135 divisors (see below), whose sum is σ = 130844604891. Its totient is φ = 16090534656.

The previous prime is 49153550419. The next prime is 49153550441. The reversal of 49153550436 is 63405535194.

The square root of 49153550436 is 221706.

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

49153550436 is a `hidden beast` number, since 4 + 9 + 1 + 53 + 550 + 43 + 6 = 666.

49153550436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9291032100 + 39862518336 = 96390^2 + 199656^2 .

It is a junction number, because it is equal to n+sod(n) for n = 49153550391 and 49153550400.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 434987116 + ... + 434987228.

Almost surely, 2^49153550436 is an apocalyptic number.

49153550436 is the 221706-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49153550436

49153550436 is an abundant number, since it is smaller than the sum of its proper divisors (81691054455).

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

49153550436 is a wasteful number, since it uses less digits than its factorization.

49153550436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 49153550436 in words is "forty-nine billion, one hundred fifty-three million, five hundred fifty thousand, four hundred thirty-six".