114457757654448 has 240 divisors, whose sum is σ = 357739652304000. Its totient is φ = 35021020260096.

The previous prime is 114457757654411. The next prime is 114457757654483. The reversal of 114457757654448 is 844456757754411.

It is a happy number.

114457757654448 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 5 + 7 + 7 + 5 + 76 + 544 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8689263 + ... + 17447601.

It is an arithmetic number, because the mean of its divisors is an integer number (1490581884600).

Almost surely, 2^{114457757654448} is an apocalyptic number.

114457757654448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114457757654448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178869826152000).

114457757654448 is an abundant number, since it is smaller than the sum of its proper divisors (243281894649552).

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

114457757654448 is a wasteful number, since it uses less digits than its factorization.

114457757654448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8758561 (or 8758536 counting only the distinct ones).

The product of its digits is 2107392000, while the sum is 72.

The spelling of 114457757654448 in words is "one hundred fourteen trillion, four hundred fifty-seven billion, seven hundred fifty-seven million, six hundred fifty-four thousand, four hundred forty-eight".