48964345344 has 160 divisors (see below), whose sum is σ = 145142094240. Its totient is φ = 16298459136.

The previous prime is 48964345343. The next prime is 48964345393. The reversal of 48964345344 is 44354346984.

48964345344 is a `hidden beast` number, since 48 + 9 + 64 + 3 + 4 + 534 + 4 = 666.

It is a super-2 number, since 2×48964345344² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48964345343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11845102 + ... + 11849234.

It is an arithmetic number, because the mean of its divisors is an integer number (907138089).

Almost surely, 2^48964345344 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 48964345344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72571047120).

48964345344 is an abundant number, since it is smaller than the sum of its proper divisors (96177748896).

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

48964345344 is an equidigital number, since it uses as much as digits as its factorization.

48964345344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5017 (or 4995 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 54.

The spelling of 48964345344 in words is "forty-eight billion, nine hundred sixty-four million, three hundred forty-five thousand, three hundred forty-four".