6938156501952 has 896 divisors, whose sum is σ = 22149922314240. Its totient is φ = 1896590868480.

The previous prime is 6938156501923. The next prime is 6938156501959. The reversal of 6938156501952 is 2591056518396.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6938156501959) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7468413424 + ... + 7468414352.

It is an arithmetic number, because the mean of its divisors is an integer number (24720895440).

Almost surely, 2^{6938156501952} 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 6938156501952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11074961157120).

6938156501952 is an abundant number, since it is smaller than the sum of its proper divisors (15211765812288).

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

6938156501952 is a wasteful number, since it uses less digits than its factorization.

6938156501952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 17496000, while the sum is 60.

The spelling of 6938156501952 in words is "six trillion, nine hundred thirty-eight billion, one hundred fifty-six million, five hundred one thousand, nine hundred fifty-two".