48774555648 has 672 divisors, whose sum is σ = 180465667200. Its totient is φ = 12827787264.

The previous prime is 48774555617. The next prime is 48774555649. The reversal of 48774555648 is 84655547784.

48774555648 is a `hidden beast` number, since 4 + 8 + 7 + 74 + 5 + 556 + 4 + 8 = 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 (63).

Its product of digits (150528000) is a multiple of the sum of its prime divisors (384).

It is not an unprimeable number, because it can be changed into a prime (48774555649) 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 55 ways as a sum of consecutive naturals, for example, 135862093 + ... + 135862451.

It is an arithmetic number, because the mean of its divisors is an integer number (268550100).

Almost surely, 2^48774555648 is an apocalyptic number.

48774555648 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 48774555648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90232833600).

48774555648 is an abundant number, since it is smaller than the sum of its proper divisors (131691111552).

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

48774555648 is an equidigital number, since it uses as much as digits as its factorization.

48774555648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 384 counting only the distinct ones).

The product of its digits is 150528000, while the sum is 63.

The spelling of 48774555648 in words is "forty-eight billion, seven hundred seventy-four million, five hundred fifty-five thousand, six hundred forty-eight".