83221958476449 has 135 divisors (see below), whose sum is σ = 136117325399913. Its totient is φ = 50649297910848.

The previous prime is 83221958476427. The next prime is 83221958476453. The reversal of 83221958476449 is 94467485912238.

The square root of 83221958476449 is 9122607.

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

83221958476449 is a `hidden beast` number, since 8 + 3 + 2 + 21 + 95 + 8 + 4 + 76 + 449 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5993717514849 + 77228240961600 = 2448207^2 + 8787960^2 .

It is not a de Polignac number, because 83221958476449 - 2²¹ = 83221956379297 is a prime.

It is a super-2 number, since 2×83221958476449² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (83221958476409) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 109936536579 + ... + 109936537335.

Almost surely, 2^{83221958476449} is an apocalyptic number.

83221958476449 is the 9122607-th square number.

83221958476449 is the 4561304-th centered octagonal number.

It is an amenable number.

83221958476449 is a deficient number, since it is larger than the sum of its proper divisors (52895366923464).

83221958476449 is an frugal number, since it uses more digits than its factorization.

83221958476449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758 (or 876 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 72.

The spelling of 83221958476449 in words is "eighty-three trillion, two hundred twenty-one billion, nine hundred fifty-eight million, four hundred seventy-six thousand, four hundred forty-nine".