420818739293689 has 9 divisors (see below), whose sum is σ = 462553077172431. Its totient is φ = 382562285128320.

The previous prime is 420818739293677. The next prime is 420818739293737. The reversal of 420818739293689 is 986392937818024.

It is a happy number.

The square root of 420818739293689 is 20513867.

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., 31096181196025 + 389722558097664 = 5576395^2 + 19741392^2 .

It is not a de Polignac number, because 420818739293689 - 2¹⁵ = 420818739260921 is a prime.

It is a super-2 number, since 2×420818739293689² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (420818739293789) 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, 224720089 + ... + 226584985.

Almost surely, 2^{420818739293689} is an apocalyptic number.

420818739293689 is the 20513867-th square number.

420818739293689 is the 10256934-th centered octagonal number.

It is an amenable number.

420818739293689 is a deficient number, since it is larger than the sum of its proper divisors (41734337878742).

420818739293689 is an frugal number, since it uses more digits than its factorization.

420818739293689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3729816 (or 1864908 counting only the distinct ones).

The product of its (nonzero) digits is 2257403904, while the sum is 79.

The spelling of 420818739293689 in words is "four hundred twenty trillion, eight hundred eighteen billion, seven hundred thirty-nine million, two hundred ninety-three thousand, six hundred eighty-nine".