48069816303600 has 3840 divisors, whose sum is σ = 228674430566400. Its totient is φ = 9311791104000.

The previous prime is 48069816303541. The next prime is 48069816303637. The reversal of 48069816303600 is 630361896084.

48069816303600 is a `hidden beast` number, since 480 + 6 + 98 + 16 + 3 + 0 + 3 + 60 + 0 = 666.

48069816303600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×48069816303600³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 126833288211 + ... + 126833288589.

It is an arithmetic number, because the mean of its divisors is an integer number (59550632960).

Almost surely, 2^{48069816303600} is an apocalyptic number.

48069816303600 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 48069816303600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114337215283200).

48069816303600 is an abundant number, since it is smaller than the sum of its proper divisors (180604614262800).

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

48069816303600 is a wasteful number, since it uses less digits than its factorization.

48069816303600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 48069816303600 in words is "forty-eight trillion, sixty-nine billion, eight hundred sixteen million, three hundred three thousand, six hundred".