83553371136 has 99 divisors (see below), whose sum is σ = 241338698263. Its totient is φ = 27841873920.

The previous prime is 83553371119. The next prime is 83553371137. The reversal of 83553371136 is 63117335538.

The square root of 83553371136 is 289056.

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

83553371136 is a `hidden beast` number, since 8 + 35 + 533 + 71 + 13 + 6 = 666.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 83553371091 and 83553371100.

It is not an unprimeable number, because it can be changed into a prime (83553371137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27747871 + ... + 27750881.

Almost surely, 2^83553371136 is an apocalyptic number.

83553371136 is the 289056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83553371136

83553371136 is an abundant number, since it is smaller than the sum of its proper divisors (157785327127).

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

83553371136 is an frugal number, since it uses more digits than its factorization.

83553371136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6048 (or 3016 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The spelling of 83553371136 in words is "eighty-three billion, five hundred fifty-three million, three hundred seventy-one thousand, one hundred thirty-six".