2449838518416 has 405 divisors, whose sum is σ = 7373889728569. Its totient is φ = 759207710976.

The previous prime is 2449838518373. The next prime is 2449838518417. The reversal of 2449838518416 is 6148158389442.

It is a happy number.

The square root of 2449838518416 is 1565196.

It is a perfect power (a square), and thus also a powerful number.

2449838518416 is a `hidden beast` number, since 2 + 4 + 49 + 8 + 38 + 518 + 41 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1766081523600 + 683756994816 = 1328940^2 + 826896^2 .

It is a super-2 number, since 2×2449838518416² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2449838518417) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 22895687035 + ... + 22895687141.

Almost surely, 2^{2449838518416} is an apocalyptic number.

2449838518416 is the 1565196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2449838518416

2449838518416 is an abundant number, since it is smaller than the sum of its proper divisors (4924051210153).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2449838518416 is a wasteful number, since it uses less digits than its factorization.

2449838518416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 188 counting only the distinct ones).

The product of its digits is 53084160, while the sum is 63.

The spelling of 2449838518416 in words is "two trillion, four hundred forty-nine billion, eight hundred thirty-eight million, five hundred eighteen thousand, four hundred sixteen".