48315348400 has 180 divisors, whose sum is σ = 128062490976. Its totient is φ = 17504115200.

The previous prime is 48315348397. The next prime is 48315348443. The reversal of 48315348400 is 484351384.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14179497 + ... + 14182903.

Almost surely, 2^48315348400 is an apocalyptic number.

48315348400 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 48315348400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64031245488).

48315348400 is an abundant number, since it is smaller than the sum of its proper divisors (79747142576).

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

48315348400 is a wasteful number, since it uses less digits than its factorization.

48315348400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3740 (or 3718 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

Adding to 48315348400 its reverse (484351384), we get a palindrome (48799699784).

The spelling of 48315348400 in words is "forty-eight billion, three hundred fifteen million, three hundred forty-eight thousand, four hundred".