48150692464900 has 81 divisors (see below), whose sum is σ = 105310583161567. Its totient is φ = 19109643654400.

The previous prime is 48150692464873. The next prime is 48150692464907. The reversal of 48150692464900 is 946429605184.

It is a happy number.

The square root of 48150692464900 is 6939070.

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

48150692464900 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 1904273042116 + 46246419422784 = 1379954^2 + 6800472^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48150692464907) 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, 9090179052 + ... + 9090184348.

Almost surely, 2^{48150692464900} is an apocalyptic number.

48150692464900 is the 6939070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48150692464900

48150692464900 is an abundant number, since it is smaller than the sum of its proper divisors (57159890696667).

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

48150692464900 is an frugal number, since it uses more digits than its factorization.

48150692464900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10870 (or 5435 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 58.

The spelling of 48150692464900 in words is "forty-eight trillion, one hundred fifty billion, six hundred ninety-two million, four hundred sixty-four thousand, nine hundred".