48363623616 has 448 divisors, whose sum is σ = 165818612736. Its totient is φ = 12076646400.

The previous prime is 48363623603. The next prime is 48363623617. The reversal of 48363623616 is 61632636384.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×48363623616² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (48363623617) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44247966 + ... + 44249058.

It is an arithmetic number, because the mean of its divisors is an integer number (370130832).

Almost surely, 2^48363623616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48363623616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82909306368).

48363623616 is an abundant number, since it is smaller than the sum of its proper divisors (117454989120).

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

48363623616 is a wasteful number, since it uses less digits than its factorization.

48363623616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1230 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 48.

The spelling of 48363623616 in words is "forty-eight billion, three hundred sixty-three million, six hundred twenty-three thousand, six hundred sixteen".