48385385400 has 192 divisors, whose sum is σ = 166719150720. Its totient is φ = 11508390400.

The previous prime is 48385385359. The next prime is 48385385441. The reversal of 48385385400 is 458358384.

It is an interprime number because it is at equal distance from previous prime (48385385359) and next prime (48385385441).

It is a super-2 number, since 2×48385385400² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 48385385400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280639 + ... + 418961.

It is an arithmetic number, because the mean of its divisors is an integer number (868328910).

Almost surely, 2^48385385400 is an apocalyptic number.

48385385400 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 48385385400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83359575360).

48385385400 is an abundant number, since it is smaller than the sum of its proper divisors (118333765320).

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

48385385400 is a wasteful number, since it uses less digits than its factorization.

48385385400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138406 (or 138397 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 48.

The spelling of 48385385400 in words is "forty-eight billion, three hundred eighty-five million, three hundred eighty-five thousand, four hundred".