48552311808 has 1056 divisors, whose sum is σ = 198854423040. Its totient is φ = 10988421120.

The previous prime is 48552311749. The next prime is 48552311813. The reversal of 48552311808 is 80811325584.

48552311808 is a `hidden beast` number, since 4 + 8 + 5 + 523 + 118 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 175278966 + ... + 175279242.

Almost surely, 2^48552311808 is an apocalyptic number.

48552311808 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48552311808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99427211520).

48552311808 is an abundant number, since it is smaller than the sum of its proper divisors (150302111232).

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

48552311808 is a wasteful number, since it uses less digits than its factorization.

48552311808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 48552311808 in words is "forty-eight billion, five hundred fifty-two million, three hundred eleven thousand, eight hundred eight".