49683065952 has 192 divisors, whose sum is σ = 148599360000. Its totient is φ = 14408368128.

The previous prime is 49683065921. The next prime is 49683065953. The reversal of 49683065952 is 25956038694.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 49683065892 and 49683065901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49683065953) 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 31 ways as a sum of consecutive naturals, for example, 4713424 + ... + 4723952.

It is an arithmetic number, because the mean of its divisors is an integer number (773955000).

Almost surely, 2^49683065952 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 49683065952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74299680000).

49683065952 is an abundant number, since it is smaller than the sum of its proper divisors (98916294048).

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

49683065952 is a wasteful number, since it uses less digits than its factorization.

49683065952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10773 (or 10765 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 57.

The spelling of 49683065952 in words is "forty-nine billion, six hundred eighty-three million, sixty-five thousand, nine hundred fifty-two".