48382401600 has 945 divisors, whose sum is σ = 196758468687. Its totient is φ = 11656120320.

The previous prime is 48382401593. The next prime is 48382401607. The reversal of 48382401600 is 610428384.

The square root of 48382401600 is 219960.

It is a perfect power (a square), and thus also a powerful number.

48382401600 is a `hidden beast` number, since 4 + 8 + 3 + 8 + 2 + 40 + 1 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (48382401593) and next prime (48382401607).

It can be written as a sum of positive squares in 4 ways, for example, as 12470635584 + 35911766016 = 111672^2 + 189504^2 .

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

It is not an unprimeable number, because it can be changed into a prime (48382401607) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1029412777 + ... + 1029412823.

Almost surely, 2^48382401600 is an apocalyptic number.

48382401600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

48382401600 is the 219960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48382401600

48382401600 is an abundant number, since it is smaller than the sum of its proper divisors (148376067087).

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

48382401600 is a wasteful number, since it uses less digits than its factorization.

48382401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Multiplying 48382401600 by its sum of digits (36), we get a square (1741766457600 = 1319760²).

48382401600 divided by its sum of digits (36) gives a square (1343955600 = 36660²).

Adding to 48382401600 its reverse (610428384), we get a palindrome (48992829984).

The spelling of 48382401600 in words is "forty-eight billion, three hundred eighty-two million, four hundred one thousand, six hundred".