48243720892900 has 405 divisors, whose sum is σ = 119699119340913. Its totient is φ = 16869886176000.

The previous prime is 48243720892859. The next prime is 48243720892903. The reversal of 48243720892900 is 929802734284.

It is a happy number.

The square root of 48243720892900 is 6945770.

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

It can be written as a sum of positive squares in 13 ways, for example, as 21543020970916 + 26700699921984 = 4641446^2 + 5167272^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48243720892903) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 477660602850 + ... + 477660602950.

Almost surely, 2^{48243720892900} is an apocalyptic number.

48243720892900 is the 6945770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48243720892900

48243720892900 is an abundant number, since it is smaller than the sum of its proper divisors (71455398448013).

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

48243720892900 is an equidigital number, since it uses as much as digits as its factorization.

48243720892900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 58.

The spelling of 48243720892900 in words is "forty-eight trillion, two hundred forty-three billion, seven hundred twenty million, eight hundred ninety-two thousand, nine hundred".