48134848665600 has 1152 divisors, whose sum is σ = 185052905856000. Its totient is φ = 12240770826240.

The previous prime is 48134848665593. The next prime is 48134848665613. The reversal of 48134848665600 is 656684843184.

It is a happy number.

48134848665600 is a `hidden beast` number, since 4 + 8 + 1 + 3 + 4 + 8 + 4 + 8 + 66 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11414474692 + ... + 11414478908.

It is an arithmetic number, because the mean of its divisors is an integer number (160636203000).

Almost surely, 2^{48134848665600} is an apocalyptic number.

48134848665600 is a gapful number since it is divisible by the number (40) 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 48134848665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92526452928000).

48134848665600 is an abundant number, since it is smaller than the sum of its proper divisors (136918057190400).

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

48134848665600 is a wasteful number, since it uses less digits than its factorization.

48134848665600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4640 (or 4609 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 63.

The spelling of 48134848665600 in words is "forty-eight trillion, one hundred thirty-four billion, eight hundred forty-eight million, six hundred sixty-five thousand, six hundred".