81419600004961 has 9 divisors (see below), whose sum is σ = 81761026227129. Its totient is φ = 81079593753600.

The previous prime is 81419600004917. The next prime is 81419600004989. The reversal of 81419600004961 is 16940000691418.

The square root of 81419600004961 is 9023281.

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 7026904990561 + 74392695014400 = 2650831^2 + 8625120^2 .

It is not a de Polignac number, because 81419600004961 - 2²³ = 81419591616353 is a prime.

It is a super-2 number, since 2×81419600004961² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (81419600008961) 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, 2174592001 + ... + 2174629441.

It is an arithmetic number, because the mean of its divisors is an integer number (9084558469681).

Almost surely, 2^{81419600004961} is an apocalyptic number.

81419600004961 is the 9023281-st square number.

81419600004961 is the 4511641-st centered octagonal number.

It is an amenable number.

81419600004961 is a deficient number, since it is larger than the sum of its proper divisors (341426222168).

81419600004961 is an frugal number, since it uses more digits than its factorization.

81419600004961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75364 (or 37682 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 49.

The spelling of 81419600004961 in words is "eighty-one trillion, four hundred nineteen billion, six hundred million, four thousand, nine hundred sixty-one".