48104918400 has 768 divisors, whose sum is σ = 201072844800. Its totient is φ = 9817497600.

The previous prime is 48104918387. The next prime is 48104918423. The reversal of 48104918400 is 481940184.

It is a super-3 number, since 3×48104918400³ (a number of 33 digits) contains 333 as substring.

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, 43612249 + ... + 43613351.

It is an arithmetic number, because the mean of its divisors is an integer number (261813600).

Almost surely, 2^48104918400 is an apocalyptic number.

48104918400 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 48104918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100536422400).

48104918400 is an abundant number, since it is smaller than the sum of its proper divisors (152967926400).

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

48104918400 is a wasteful number, since it uses less digits than its factorization.

48104918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 48104918400 in words is "forty-eight billion, one hundred four million, nine hundred eighteen thousand, four hundred".