48829119264576 has 672 divisors, whose sum is σ = 175227877493760. Its totient is φ = 13170043736064.

The previous prime is 48829119264571. The next prime is 48829119264581. The reversal of 48829119264576 is 67546291192884.

It is a happy number.

48829119264576 is a `hidden beast` number, since 4 + 8 + 8 + 29 + 1 + 1 + 9 + 26 + 4 + 576 = 666.

48829119264576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48829119264571) and next prime (48829119264581).

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 (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48829119264571) by changing a digit.

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, 585320020 + ... + 585403436.

It is an arithmetic number, because the mean of its divisors is an integer number (260755770080).

Almost surely, 2^{48829119264576} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48829119264576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87613938746880).

48829119264576 is an abundant number, since it is smaller than the sum of its proper divisors (126398758229184).

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

48829119264576 is a wasteful number, since it uses less digits than its factorization.

48829119264576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83753 (or 83731 counting only the distinct ones).

The product of its digits is 418037760, while the sum is 72.

The spelling of 48829119264576 in words is "forty-eight trillion, eight hundred twenty-nine billion, one hundred nineteen million, two hundred sixty-four thousand, five hundred seventy-six".