49307360256 has 1408 divisors, whose sum is σ = 203743641600. Its totient is φ = 11386552320.

The previous prime is 49307360251. The next prime is 49307360261. The reversal of 49307360256 is 65206370394.

49307360256 is a `hidden beast` number, since 4 + 9 + 30 + 7 + 3 + 602 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (49307360251) and next prime (49307360261).

It is a tau number, because it is divible by the number of its divisors (1408).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49307360251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 930327526 + ... + 930327578.

Almost surely, 2^49307360256 is an apocalyptic number.

49307360256 is a gapful number since it is divisible by the number (46) 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 49307360256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101871820800).

49307360256 is an abundant number, since it is smaller than the sum of its proper divisors (154436281344).

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

49307360256 is a wasteful number, since it uses less digits than its factorization.

49307360256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 49307360256 in words is "forty-nine billion, three hundred seven million, three hundred sixty thousand, two hundred fifty-six".