460225221633 has 32 divisors (see below), whose sum is σ = 697741524480. Its totient is φ = 299651380560.

The previous prime is 460225221593. The next prime is 460225221649. The reversal of 460225221633 is 336122522064.

460225221633 is a `hidden beast` number, since 4 + 602 + 2 + 5 + 2 + 2 + 16 + 33 = 666.

It is not a de Polignac number, because 460225221633 - 2¹⁸ = 460224959489 is a prime.

It is a super-3 number, since 3×460225221633³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (460225221233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21736110 + ... + 21757272.

It is an arithmetic number, because the mean of its divisors is an integer number (21804422640).

Almost surely, 2^460225221633 is an apocalyptic number.

460225221633 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

460225221633 is a deficient number, since it is larger than the sum of its proper divisors (237516302847).

460225221633 is a wasteful number, since it uses less digits than its factorization.

460225221633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39946 (or 39940 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 460225221633 its reverse (336122522064), we get a palindrome (796347743697).

The spelling of 460225221633 in words is "four hundred sixty billion, two hundred twenty-five million, two hundred twenty-one thousand, six hundred thirty-three".