48334130998272 has 1056 divisors, whose sum is σ = 173850629184000. Its totient is φ = 12992318963712.

The previous prime is 48334130998217. The next prime is 48334130998297. The reversal of 48334130998272 is 27289903143384.

48334130998272 is a `hidden beast` number, since 4 + 8 + 334 + 130 + 99 + 82 + 7 + 2 = 666.

48334130998272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10410105583 + ... + 10410110225.

Almost surely, 2^{48334130998272} is an apocalyptic number.

48334130998272 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 48334130998272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86925314592000).

48334130998272 is an abundant number, since it is smaller than the sum of its proper divisors (125516498185728).

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

48334130998272 is a wasteful number, since it uses less digits than its factorization.

48334130998272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4866 (or 4823 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 48334130998272 in words is "forty-eight trillion, three hundred thirty-four billion, one hundred thirty million, nine hundred ninety-eight thousand, two hundred seventy-two".