48937299933024 has 576 divisors, whose sum is σ = 152994268627200. Its totient is φ = 15344420861952.

The previous prime is 48937299933007. The next prime is 48937299933113. The reversal of 48937299933024 is 42033999273984.

48937299933024 is a `hidden beast` number, since 4 + 89 + 3 + 72 + 99 + 93 + 302 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 28905669522 + ... + 28905671214.

It is an arithmetic number, because the mean of its divisors is an integer number (265615049700).

Almost surely, 2^{48937299933024} 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 48937299933024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76497134313600).

48937299933024 is an abundant number, since it is smaller than the sum of its proper divisors (104056968694176).

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

48937299933024 is a wasteful number, since it uses less digits than its factorization.

48937299933024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3009 (or 2989 counting only the distinct ones).

The product of its (nonzero) digits is 634894848, while the sum is 72.

The spelling of 48937299933024 in words is "forty-eight trillion, nine hundred thirty-seven billion, two hundred ninety-nine million, nine hundred thirty-three thousand, twenty-four".