38146972656 has 160 divisors (see below), whose sum is σ = 112738409280. Its totient is φ = 11010834432.

The previous prime is 38146972651. The next prime is 38146972691. The reversal of 38146972656 is 65627964183.

38146972656 is nontrivially palindromic in base 5.

It is a super-2 number, since 2×38146972656² (a number of 22 digits) contains 22 as substring.

38146972656 is a nontrivial repdigit in base 5.

It is a plaindrome in base 5.

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 38146972596 and 38146972605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38146972651) by changing a digit.

It is a nontrivial repunit in base 5.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3314560 + ... + 3326048.

It is an arithmetic number, because the mean of its divisors is an integer number (704615058).

Almost surely, 2^38146972656 is an apocalyptic number.

It is a pronic number, being equal to 195312×195313.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38146972656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56369204640).

38146972656 is an abundant number, since it is smaller than the sum of its proper divisors (74591436624).

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

38146972656 is a wasteful number, since it uses less digits than its factorization.

38146972656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11843 (or 11837 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 57.

The spelling of 38146972656 in words is "thirty-eight billion, one hundred forty-six million, nine hundred seventy-two thousand, six hundred fifty-six".