48822681600 has 1224 divisors, whose sum is σ = 223118493312. Its totient is φ = 9909043200.

The previous prime is 48822681539. The next prime is 48822681641. The reversal of 48822681600 is 618622884.

48822681600 is a `hidden beast` number, since 488 + 2 + 2 + 6 + 8 + 160 + 0 = 666.

It is a super-2 number, since 2×48822681600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1135411179 + ... + 1135411221.

Almost surely, 2^48822681600 is an apocalyptic number.

48822681600 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 48822681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111559246656).

48822681600 is an abundant number, since it is smaller than the sum of its proper divisors (174295811712).

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

48822681600 is a wasteful number, since it uses less digits than its factorization.

48822681600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 48822681600 in words is "forty-eight billion, eight hundred twenty-two million, six hundred eighty-one thousand, six hundred".