49709335061952 has 392 divisors, whose sum is σ = 157790721310992. Its totient is φ = 15476006707200.

The previous prime is 49709335061917. The next prime is 49709335061957. The reversal of 49709335061952 is 25916053390794.

49709335061952 is a `hidden beast` number, since 4 + 9 + 7 + 0 + 9 + 3 + 3 + 5 + 0 + 619 + 5 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 49709335061952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49709335061957) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 103663702 + ... + 104142122.

Almost surely, 2^{49709335061952} 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 49709335061952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78895360655496).

49709335061952 is an abundant number, since it is smaller than the sum of its proper divisors (108081386249040).

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

49709335061952 is a wasteful number, since it uses less digits than its factorization.

49709335061952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478599 (or 478574 counting only the distinct ones).

The product of its (nonzero) digits is 55112400, while the sum is 63.

The spelling of 49709335061952 in words is "forty-nine trillion, seven hundred nine billion, three hundred thirty-five million, sixty-one thousand, nine hundred fifty-two".