38213134542752 has 48 divisors (see below), whose sum is σ = 81022575712680. Its totient is φ = 17636095153152.

The previous prime is 38213134542707. The next prime is 38213134542769. The reversal of 38213134542752 is 25724543131283.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 35872001976976 + 2341132565776 = 5989324^2 + 1530076^2 .

It is a super-2 number, since 2×38213134542752² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 38213134542752.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 8124278 + ... + 11934410.

Almost surely, 2^{38213134542752} is an apocalyptic number.

38213134542752 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38213134542752 is an abundant number, since it is smaller than the sum of its proper divisors (42809441169928).

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

38213134542752 is a wasteful number, since it uses less digits than its factorization.

38213134542752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3834265 (or 3834257 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 50.

The spelling of 38213134542752 in words is "thirty-eight trillion, two hundred thirteen billion, one hundred thirty-four million, five hundred forty-two thousand, seven hundred fifty-two".