381742249088 has 72 divisors (see below), whose sum is σ = 769790488905. Its totient is φ = 188567851008.

The previous prime is 381742249081. The next prime is 381742249127. The reversal of 381742249088 is 880942247183.

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 380748234304 + 994014784 = 617048^2 + 31528^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=436888.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (381742249081) 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, 678049895 + ... + 678050457.

Almost surely, 2^381742249088 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 381742249088

381742249088 is an abundant number, since it is smaller than the sum of its proper divisors (388048239817).

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

381742249088 is an frugal number, since it uses more digits than its factorization.

381742249088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 56.

The spelling of 381742249088 in words is "three hundred eighty-one billion, seven hundred forty-two million, two hundred forty-nine thousand, eighty-eight".