114504255203440 has 80 divisors (see below), whose sum is σ = 269198935790400. Its totient is φ = 45291279568896.

The previous prime is 114504255203417. The next prime is 114504255203479. The reversal of 114504255203440 is 44302552405411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×114504255203440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 114504255203393 and 114504255203402.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8666745 + ... + 17439064.

It is an arithmetic number, because the mean of its divisors is an integer number (3364986697380).

Almost surely, 2^{114504255203440} is an apocalyptic number.

114504255203440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114504255203440 is an abundant number, since it is smaller than the sum of its proper divisors (154694680586960).

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

114504255203440 is a wasteful number, since it uses less digits than its factorization.

114504255203440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26106434 (or 26106428 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 40.

The spelling of 114504255203440 in words is "one hundred fourteen trillion, five hundred four billion, two hundred fifty-five million, two hundred three thousand, four hundred forty".