2391612464448 has 560 divisors, whose sum is σ = 7853769310464. Its totient is φ = 716384010240.

The previous prime is 2391612464443. The next prime is 2391612464477. The reversal of 2391612464448 is 8444642161932.

2391612464448 is a `hidden beast` number, since 2 + 3 + 9 + 16 + 124 + 64 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2391612464394 and 2391612464403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2391612464443) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 169815615 + ... + 169829697.

Almost surely, 2^{2391612464448} 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 2391612464448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3926884655232).

2391612464448 is an abundant number, since it is smaller than the sum of its proper divisors (5462156846016).

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

2391612464448 is a wasteful number, since it uses less digits than its factorization.

2391612464448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14212 (or 14193 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 2391612464448 in words is "two trillion, three hundred ninety-one billion, six hundred twelve million, four hundred sixty-four thousand, four hundred forty-eight".