48225916816 has 405 divisors, whose sum is σ = 129051355419. Its totient is φ = 17392636800.

The previous prime is 48225916799. The next prime is 48225916853. The reversal of 48225916816 is 61861952284.

The square root of 48225916816 is 219604.

It is a perfect power (a square), and thus also a powerful 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 80 ways as a sum of consecutive naturals, for example, 1555674721 + ... + 1555674751.

Almost surely, 2^48225916816 is an apocalyptic number.

48225916816 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

48225916816 is the 219604-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48225916816

48225916816 is an abundant number, since it is smaller than the sum of its proper divisors (80825438603).

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

48225916816 is a wasteful number, since it uses less digits than its factorization.

48225916816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 74 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 52.

The spelling of 48225916816 in words is "forty-eight billion, two hundred twenty-five million, nine hundred sixteen thousand, eight hundred sixteen".