48258196963344 has 225 divisors, whose sum is σ = 148385665603021. Its totient is φ = 15138492710400.

The previous prime is 48258196963321. The next prime is 48258196963363. The reversal of 48258196963344 is 44336969185284.

The square root of 48258196963344 is 6946812.

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

48258196963344 is a `hidden beast` number, since 4 + 8 + 2 + 5 + 8 + 196 + 96 + 3 + 344 = 666.

It can be written as a sum of positive squares in only one way, i.e., 37571260611600 + 10686936351744 = 6129540^2 + 3269088^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4251443269 + ... + 4251454619.

Almost surely, 2^{48258196963344} is an apocalyptic number.

48258196963344 is the 6946812-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48258196963344

48258196963344 is an abundant number, since it is smaller than the sum of its proper divisors (100127468639677).

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

48258196963344 is an frugal number, since it uses more digits than its factorization.

48258196963344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22756 (or 11373 counting only the distinct ones).

The product of its digits is 1074954240, while the sum is 72.

The spelling of 48258196963344 in words is "forty-eight trillion, two hundred fifty-eight billion, one hundred ninety-six million, nine hundred sixty-three thousand, three hundred forty-four".