49598506749312 has 512 divisors, whose sum is σ = 157055112000000. Its totient is φ = 15362386034688.

The previous prime is 49598506749289. The next prime is 49598506749317. The reversal of 49598506749312 is 21394760589594.

49598506749312 is a `hidden beast` number, since 4 + 9 + 59 + 85 + 0 + 6 + 7 + 493 + 1 + 2 = 666.

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 (49598506749317) 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 63 ways as a sum of consecutive naturals, for example, 1739490768 + ... + 1739519280.

It is an arithmetic number, because the mean of its divisors is an integer number (306748265625).

It is a 1-persistent number, because it is pandigital, but 2⋅49598506749312 = 99197013498624 is not.

Almost surely, 2^{49598506749312} 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 49598506749312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78527556000000).

49598506749312 is an abundant number, since it is smaller than the sum of its proper divisors (107456605250688).

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

49598506749312 is a wasteful number, since it uses less digits than its factorization.

49598506749312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29063 (or 29045 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 72.

The spelling of 49598506749312 in words is "forty-nine trillion, five hundred ninety-eight billion, five hundred six million, seven hundred forty-nine thousand, three hundred twelve".