83838623401 has 9 divisors (see below), whose sum is σ = 90787910949. Its totient is φ = 77386023936.

The previous prime is 83838623387. The next prime is 83838623411. The reversal of 83838623401 is 10432683838.

The square root of 83838623401 is 289549.

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 68487413401 + 15351210000 = 261701^2 + 123900^2 .

It is not a de Polignac number, because 83838623401 - 2⁷ = 83838623273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83838623411) 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, 3753001 + ... + 3775273.

It is an arithmetic number, because the mean of its divisors is an integer number (10087545661).

Almost surely, 2^83838623401 is an apocalyptic number.

83838623401 is the 289549-th square number.

83838623401 is the 144775-th centered octagonal number.

It is an amenable number.

83838623401 is a deficient number, since it is larger than the sum of its proper divisors (6949287548).

83838623401 is an frugal number, since it uses more digits than its factorization.

83838623401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44572 (or 22286 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 46.

The spelling of 83838623401 in words is "eighty-three billion, eight hundred thirty-eight million, six hundred twenty-three thousand, four hundred one".