48263456640 has 256 divisors, whose sum is σ = 176040576000. Its totient is φ = 11017617408.

The previous prime is 48263456629. The next prime is 48263456653. The reversal of 48263456640 is 4665436284.

It is a super-2 number, since 2×48263456640² (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 self number, because there is not a number n which added to its sum of digits gives 48263456640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13559181 + ... + 13562739.

It is an arithmetic number, because the mean of its divisors is an integer number (687658500).

Almost surely, 2^48263456640 is an apocalyptic number.

48263456640 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 48263456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88020288000).

48263456640 is an abundant number, since it is smaller than the sum of its proper divisors (127777119360).

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

48263456640 is a wasteful number, since it uses less digits than its factorization.

48263456640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4597 (or 4585 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 48263456640 in words is "forty-eight billion, two hundred sixty-three million, four hundred fifty-six thousand, six hundred forty".