48654260928 has 672 divisors, whose sum is σ = 183906078720. Its totient is φ = 12406763520.

The previous prime is 48654260911. The next prime is 48654260929. The reversal of 48654260928 is 82906245684.

48654260928 is a `hidden beast` number, since 4 + 8 + 6 + 5 + 4 + 2 + 609 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (48654260929) 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 95 ways as a sum of consecutive naturals, for example, 43871638 + ... + 43872746.

It is an arithmetic number, because the mean of its divisors is an integer number (273669760).

Almost surely, 2^48654260928 is an apocalyptic number.

48654260928 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 48654260928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91953039360).

48654260928 is an abundant number, since it is smaller than the sum of its proper divisors (135251817792).

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

48654260928 is a wasteful number, since it uses less digits than its factorization.

48654260928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 48654260928 in words is "forty-eight billion, six hundred fifty-four million, two hundred sixty thousand, nine hundred twenty-eight".