464879876041 has 27 divisors (see below), whose sum is σ = 544327225479. Its totient is φ = 395870727168.

The previous prime is 464879876039. The next prime is 464879876051. The reversal of 464879876041 is 140678978464.

The square root of 464879876041 is 681821.

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

It can be written as a sum of positive squares in only one way, i.e., 457672545225 + 7207330816 = 676515^2 + 84896^2 .

It is not a de Polignac number, because 464879876041 - 2¹ = 464879876039 is a prime.

It is a super-2 number, since 2×464879876041² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (464879876011) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1226595790 + ... + 1226596168.

Almost surely, 2^464879876041 is an apocalyptic number.

464879876041 is the 681821-st square number.

464879876041 is the 340911-st centered octagonal number.

It is an amenable number.

464879876041 is a deficient number, since it is larger than the sum of its proper divisors (79447349438).

464879876041 is an frugal number, since it uses more digits than its factorization.

464879876041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 64.

Multiplying 464879876041 by its sum of digits (64), we get a square (29752312066624 = 5454568²).

The spelling of 464879876041 in words is "four hundred sixty-four billion, eight hundred seventy-nine million, eight hundred seventy-six thousand, forty-one".