48551414400 has 576 divisors, whose sum is σ = 184730364000. Its totient is φ = 12106506240.

The previous prime is 48551414383. The next prime is 48551414453. The reversal of 48551414400 is 441415584.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45417066 + ... + 45418134.

Almost surely, 2^48551414400 is an apocalyptic number.

48551414400 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 48551414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92365182000).

48551414400 is an abundant number, since it is smaller than the sum of its proper divisors (136178949600).

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

48551414400 is a wasteful number, since it uses less digits than its factorization.

48551414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

Adding to 48551414400 its reverse (441415584), we get a palindrome (48992829984).

The spelling of 48551414400 in words is "forty-eight billion, five hundred fifty-one million, four hundred fourteen thousand, four hundred".