838181012768 has 54 divisors (see below), whose sum is σ = 1813945268457. Its totient is φ = 380965474560.

The previous prime is 838181012759. The next prime is 838181012807. The reversal of 838181012768 is 867210181838.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 786293639824 + 51887372944 = 886732^2 + 227788^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=647372.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 56961380 + ... + 56976092.

Almost surely, 2^838181012768 is an apocalyptic number.

838181012768 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

838181012768 is an abundant number, since it is smaller than the sum of its proper divisors (975764255689).

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

838181012768 is an frugal number, since it uses more digits than its factorization.

838181012768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29458 (or 14726 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 53.

The spelling of 838181012768 in words is "eight hundred thirty-eight billion, one hundred eighty-one million, twelve thousand, seven hundred sixty-eight".