38140851485584 has 45 divisors (see below), whose sum is σ = 78501401461171. Its totient is φ = 17948438366720.

The previous prime is 38140851485563. The next prime is 38140851485587. The reversal of 38140851485584 is 48558415804183.

The square root of 38140851485584 is 6175828.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6903125664400 + 31237725821184 = 2627380^2 + 5589072^2 .

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38140851485587) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 419910894 + ... + 420001714.

Almost surely, 2^{38140851485584} is an apocalyptic number.

38140851485584 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

38140851485584 is the 6175828-th square number.

It is an amenable number.

38140851485584 is an abundant number, since it is smaller than the sum of its proper divisors (40360549975587).

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

38140851485584 is an frugal number, since it uses more digits than its factorization.

38140851485584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181684 (or 90840 counting only the distinct ones).

The product of its (nonzero) digits is 98304000, while the sum is 64.

The spelling of 38140851485584 in words is "thirty-eight trillion, one hundred forty billion, eight hundred fifty-one million, four hundred eighty-five thousand, five hundred eighty-four".