49841628281952 has 288 divisors, whose sum is σ = 145007936954496. Its totient is φ = 14975041536000.

The previous prime is 49841628281867. The next prime is 49841628281957. The reversal of 49841628281952 is 25918282614894.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49841628281957) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3244678752 + ... + 3244694112.

It is an arithmetic number, because the mean of its divisors is an integer number (503499781092).

Almost surely, 2^{49841628281952} 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 49841628281952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72503968477248).

49841628281952 is an abundant number, since it is smaller than the sum of its proper divisors (95166308672544).

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

49841628281952 is a wasteful number, since it uses less digits than its factorization.

49841628281952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20094 (or 20073 counting only the distinct ones).

The product of its digits is 159252480, while the sum is 69.

The spelling of 49841628281952 in words is "forty-nine trillion, eight hundred forty-one billion, six hundred twenty-eight million, two hundred eighty-one thousand, nine hundred fifty-two".