48646368 has 72 divisors (see below), whose sum is σ = 140992488. Its totient is φ = 15904512.

The previous prime is 48646331. The next prime is 48646393. The reversal of 48646368 is 86364684.

48646368 is a `hidden beast` number, since 4 + 8 + 6 + 4 + 636 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13671 + ... + 16857.

It is an arithmetic number, because the mean of its divisors is an integer number (1958229).

Almost surely, 2^48646368 is an apocalyptic number.

48646368 is a gapful number since it is divisible by the number (48) 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 48646368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70496244).

48646368 is an abundant number, since it is smaller than the sum of its proper divisors (92346120).

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

48646368 is a wasteful number, since it uses less digits than its factorization.

48646368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3256 (or 3245 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 48646368 is about 6974.6948320339. The cubic root of 48646368 is about 365.0481402696.

It can be divided in two parts, 48 and 646368, that added together give a square (646416 = 804²).

The spelling of 48646368 in words is "forty-eight million, six hundred forty-six thousand, three hundred sixty-eight".