46981579284721 has 9 divisors (see below), whose sum is σ = 47471590525131. Its totient is φ = 46496575092672.

The previous prime is 46981579284719. The next prime is 46981579284733. The reversal of 46981579284721 is 12748297518964.

The square root of 46981579284721 is 6854311.

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., 21096521679025 + 25885057605696 = 4593095^2 + 5087736^2 .

It is not a de Polignac number, because 46981579284721 - 2¹ = 46981579284719 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46981579284791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 664832836 + ... + 664903498.

It is an arithmetic number, because the mean of its divisors is an integer number (5274621169459).

Almost surely, 2^{46981579284721} is an apocalyptic number.

46981579284721 is the 6854311-st square number.

46981579284721 is the 3427156-th centered octagonal number.

It is an amenable number.

46981579284721 is a deficient number, since it is larger than the sum of its proper divisors (490011240410).

46981579284721 is an frugal number, since it uses more digits than its factorization.

46981579284721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141520 (or 70760 counting only the distinct ones).

The product of its digits is 487710720, while the sum is 73.

The spelling of 46981579284721 in words is "forty-six trillion, nine hundred eighty-one billion, five hundred seventy-nine million, two hundred eighty-four thousand, seven hundred twenty-one".