2454550511616 has 864 divisors, whose sum is σ = 8602075473030. Its totient is φ = 698290274304.

The previous prime is 2454550511521. The next prime is 2454550511617. The reversal of 2454550511616 is 6161150554542.

2454550511616 is a `hidden beast` number, since 2 + 4 + 545 + 50 + 51 + 1 + 6 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2322868617216 + 131681894400 = 1524096^2 + 362880^2 .

It is a tau number, because it is divible by the number of its divisors (864).

It is not an unprimeable number, because it can be changed into a prime (2454550511617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 10534551436 + ... + 10534551668.

Almost surely, 2^{2454550511616} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2454550511616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4301037736515).

2454550511616 is an abundant number, since it is smaller than the sum of its proper divisors (6147524961414).

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

2454550511616 is an frugal number, since it uses more digits than its factorization.

2454550511616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 2454550511616 in words is "two trillion, four hundred fifty-four billion, five hundred fifty million, five hundred eleven thousand, six hundred sixteen".