48457297035936 has 288 divisors, whose sum is σ = 148916824842240. Its totient is φ = 14891652292608.

The previous prime is 48457297035913. The next prime is 48457297035971. The reversal of 48457297035936 is 63953079275484.

It is a happy number.

48457297035936 is a `hidden beast` number, since 4 + 8 + 4 + 5 + 7 + 29 + 7 + 0 + 3 + 593 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 47 ways as a sum of consecutive naturals, for example, 48628330 + ... + 49614806.

It is an arithmetic number, because the mean of its divisors is an integer number (517072308480).

Almost surely, 2^{48457297035936} 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 48457297035936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74458412421120).

48457297035936 is an abundant number, since it is smaller than the sum of its proper divisors (100459527806304).

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

48457297035936 is a wasteful number, since it uses less digits than its factorization.

48457297035936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986716 (or 986705 counting only the distinct ones).

The product of its (nonzero) digits is 1371686400, while the sum is 72.

The spelling of 48457297035936 in words is "forty-eight trillion, four hundred fifty-seven billion, two hundred ninety-seven million, thirty-five thousand, nine hundred thirty-six".