10220613122464 has 48 divisors (see below), whose sum is σ = 20133901712232. Its totient is φ = 5107242083328.

The previous prime is 10220613122389. The next prime is 10220613122477. The reversal of 10220613122464 is 46422131602201.

It can be written as a sum of positive squares in 4 ways, for example, as 7913531610000 + 2307081512464 = 2813100^2 + 1518908^2 .

It is a super-2 number, since 2×10220613122464² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 834125362 + ... + 834137614.

Almost surely, 2^{10220613122464} is an apocalyptic number.

It is an amenable number.

10220613122464 is a deficient number, since it is larger than the sum of its proper divisors (9913288589768).

10220613122464 is a wasteful number, since it uses less digits than its factorization.

10220613122464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25769 (or 25761 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

Adding to 10220613122464 its reverse (46422131602201), we get a palindrome (56642744724665).

The spelling of 10220613122464 in words is "ten trillion, two hundred twenty billion, six hundred thirteen million, one hundred twenty-two thousand, four hundred sixty-four".