48361622400 has 768 divisors, whose sum is σ = 217869388800. Its totient is φ = 10202112000.

The previous prime is 48361622329. The next prime is 48361622417. The reversal of 48361622400 is 422616384.

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

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, 7859325 + ... + 7865475.

It is an arithmetic number, because the mean of its divisors is an integer number (283684100).

Almost surely, 2^48361622400 is an apocalyptic number.

48361622400 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 48361622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108934694400).

48361622400 is an abundant number, since it is smaller than the sum of its proper divisors (169507766400).

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

48361622400 is a wasteful number, since it uses less digits than its factorization.

48361622400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6204 (or 6181 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

It can be divided in two parts, 48361 and 622400, that added together give a square (670761 = 819²).

The spelling of 48361622400 in words is "forty-eight billion, three hundred sixty-one million, six hundred twenty-two thousand, four hundred".