49442238369216 has 4032 divisors, whose sum is σ = 207027809943552. Its totient is φ = 10921236480000.

The previous prime is 49442238369211. The next prime is 49442238369301. The reversal of 49442238369216 is 61296383224494.

49442238369216 is a `hidden beast` number, since 4 + 9 + 4 + 4 + 22 + 38 + 369 + 216 = 666.

49442238369216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49442238369211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 696369554461 + ... + 696369554531.

Almost surely, 2^{49442238369216} is an apocalyptic number.

49442238369216 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 49442238369216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103513904971776).

49442238369216 is an abundant number, since it is smaller than the sum of its proper divisors (157585571574336).

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

49442238369216 is a wasteful number, since it uses less digits than its factorization.

49442238369216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 228 counting only the distinct ones).

The product of its digits is 107495424, while the sum is 63.

The spelling of 49442238369216 in words is "forty-nine trillion, four hundred forty-two billion, two hundred thirty-eight million, three hundred sixty-nine thousand, two hundred sixteen".