114644076632448 has 512 divisors, whose sum is σ = 350302433633280. Its totient is φ = 32880562176000.

The previous prime is 114644076632383. The next prime is 114644076632453. The reversal of 114644076632448 is 844236670446411.

It is a junction number, because it is equal to n+sod(n) for n = 114644076632391 and 114644076632400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23127711186 + ... + 23127716142.

It is an arithmetic number, because the mean of its divisors is an integer number (684184440690).

Almost surely, 2^{114644076632448} 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 114644076632448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175151216816640).

114644076632448 is an abundant number, since it is smaller than the sum of its proper divisors (235658357000832).

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

114644076632448 is a wasteful number, since it uses less digits than its factorization.

114644076632448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7466 (or 7454 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 60.

The spelling of 114644076632448 in words is "one hundred fourteen trillion, six hundred forty-four billion, seventy-six million, six hundred thirty-two thousand, four hundred forty-eight".