48704269565952 has 2880 divisors, whose sum is σ = 199479070522368. Its totient is φ = 11561730048000.

The previous prime is 48704269565951. The next prime is 48704269565999. The reversal of 48704269565952 is 25956596240784.

48704269565952 is a `hidden beast` number, since 4 + 8 + 7 + 0 + 4 + 2 + 6 + 9 + 565 + 9 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48704269565951) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 482220490702 + ... + 482220490802.

Almost surely, 2^{48704269565952} is an apocalyptic number.

48704269565952 is a gapful number since it is divisible by the number (42) 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 48704269565952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99739535261184).

48704269565952 is an abundant number, since it is smaller than the sum of its proper divisors (150774800956416).

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

48704269565952 is an equidigital number, since it uses as much as digits as its factorization.

48704269565952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1306368000, while the sum is 72.

The spelling of 48704269565952 in words is "forty-eight trillion, seven hundred four billion, two hundred sixty-nine million, five hundred sixty-five thousand, nine hundred fifty-two".