48016722948100 has 81 divisors (see below), whose sum is σ = 106805965905373. Its totient is φ = 18737124640000.

The previous prime is 48016722948037. The next prime is 48016722948101. The reversal of 48016722948100 is 184922761084.

The square root of 48016722948100 is 6929410.

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

48016722948100 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 13 ways, for example, as 20942100672516 + 27074622275584 = 4576254^2 + 5203328^2 .

It is a super-2 number, since 2×48016722948100² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48016722948101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2841049650 + ... + 2841066550.

Almost surely, 2^{48016722948100} is an apocalyptic number.

48016722948100 is the 6929410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48016722948100

48016722948100 is an abundant number, since it is smaller than the sum of its proper divisors (58789242957273).

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

48016722948100 is an frugal number, since it uses more digits than its factorization.

48016722948100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33898 (or 16949 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 52.

The spelling of 48016722948100 in words is "forty-eight trillion, sixteen billion, seven hundred twenty-two million, nine hundred forty-eight thousand, one hundred".