49533845504 has 288 divisors, whose sum is σ = 121171986810. Its totient is φ = 20112998400.

The previous prime is 49533845503. The next prime is 49533845521. The reversal of 49533845504 is 40554833594.

It can be written as a sum of positive squares in only one way, i.e., 47628697600 + 1905147904 = 218240^2 + 43648^2 .

It is not an unprimeable number, because it can be changed into a prime (49533845503) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1597865969 + ... + 1597865999.

Almost surely, 2^49533845504 is an apocalyptic number.

49533845504 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49533845504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60585993405).

49533845504 is an abundant number, since it is smaller than the sum of its proper divisors (71638141306).

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

49533845504 is an equidigital number, since it uses as much as digits as its factorization.

49533845504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 50.

The spelling of 49533845504 in words is "forty-nine billion, five hundred thirty-three million, eight hundred forty-five thousand, five hundred four".