48228949739520 has 3072 divisors, whose sum is σ = 202163060736000. Its totient is φ = 10790948044800.

The previous prime is 48228949739519. The next prime is 48228949739569. The reversal of 48228949739520 is 2593794982284.

48228949739520 is a `hidden beast` number, since 4 + 8 + 2 + 2 + 8 + 9 + 4 + 97 + 3 + 9 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 379755509697 + ... + 379755509823.

It is an arithmetic number, because the mean of its divisors is an integer number (65808288000).

Almost surely, 2^{48228949739520} is an apocalyptic number.

48228949739520 is a gapful number since it is divisible by the number (40) 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 48228949739520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101081530368000).

48228949739520 is an abundant number, since it is smaller than the sum of its proper divisors (153934110996480).

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

48228949739520 is a wasteful number, since it uses less digits than its factorization.

48228949739520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 48228949739520 in words is "forty-eight trillion, two hundred twenty-eight billion, nine hundred forty-nine million, seven hundred thirty-nine thousand, five hundred twenty".