48268090000 has 175 divisors, whose sum is σ = 126600360073. Its totient is φ = 17822064000.

The previous prime is 48268089997. The next prime is 48268090009. The reversal of 48268090000 is 9086284.

The square root of 48268090000 is 219700.

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

It can be written as a sum of positive squares in 17 ways, for example, as 18623515024 + 29644574976 = 136468^2 + 172176^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48268090009) by changing a digit.

It is a polite number, since it can be written in 34 ways as a sum of consecutive naturals, for example, 3712929994 + ... + 3712930006.

Almost surely, 2^48268090000 is an apocalyptic number.

48268090000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

48268090000 is the 219700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48268090000

48268090000 is an abundant number, since it is smaller than the sum of its proper divisors (78332270073).

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

48268090000 is an frugal number, since it uses more digits than its factorization.

48268090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 48268090000 in words is "forty-eight billion, two hundred sixty-eight million, ninety thousand".