48642333408 has 384 divisors, whose sum is σ = 150406502400. Its totient is φ = 15276957696.

The previous prime is 48642333391. The next prime is 48642333413. The reversal of 48642333408 is 80433324684.

48642333408 is a `hidden beast` number, since 4 + 8 + 6 + 4 + 233 + 3 + 408 = 666.

48642333408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 155406660 + ... + 155406972.

It is an arithmetic number, because the mean of its divisors is an integer number (391683600).

Almost surely, 2^48642333408 is an apocalyptic number.

48642333408 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 48642333408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75203251200).

48642333408 is an abundant number, since it is smaller than the sum of its proper divisors (101764168992).

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

48642333408 is a wasteful number, since it uses less digits than its factorization.

48642333408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 48642333408 in words is "forty-eight billion, six hundred forty-two million, three hundred thirty-three thousand, four hundred eight".