19122315630649 has 189 divisors, whose sum is σ = 26311612244463. Its totient is φ = 13884854306400.

The previous prime is 19122315630647. The next prime is 19122315630679. The reversal of 19122315630649 is 94603651322191.

The square root of 19122315630649 is 4372907.

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., 621822142249 + 18500493488400 = 788557^2 + 4301220^2 .

It is not a de Polignac number, because 19122315630649 - 2¹ = 19122315630647 is a prime.

It is a super-2 number, since 2×19122315630649² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 19122315630596 and 19122315630605.

It is not an unprimeable number, because it can be changed into a prime (19122315630647) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 313480584079 + ... + 313480584139.

Almost surely, 2^{19122315630649} is an apocalyptic number.

19122315630649 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

19122315630649 is the 4372907-th square number.

19122315630649 is the 2186454-th centered octagonal number.

It is an amenable number.

19122315630649 is a deficient number, since it is larger than the sum of its proper divisors (7189296613814).

19122315630649 is an frugal number, since it uses more digits than its factorization.

19122315630649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 52.

The spelling of 19122315630649 in words is "nineteen trillion, one hundred twenty-two billion, three hundred fifteen million, six hundred thirty thousand, six hundred forty-nine".