114557706787680 has 144 divisors (see below), whose sum is σ = 420999572513520. Its totient is φ = 28198820127744.

The previous prime is 114557706787663. The next prime is 114557706787757. The reversal of 114557706787680 is 86787607755411.

It is a happy number.

114557706787680 is a `hidden beast` number, since 1 + 1 + 4 + 557 + 7 + 0 + 6 + 7 + 8 + 7 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×114557706787680³ (a number of 43 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 114557706787599 and 114557706787608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3059749090 + ... + 3059786529.

It is an arithmetic number, because the mean of its divisors is an integer number (2923608142455).

Almost surely, 2^{114557706787680} is an apocalyptic number.

114557706787680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114557706787680 is an abundant number, since it is smaller than the sum of its proper divisors (306441865725840).

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

114557706787680 is a wasteful number, since it uses less digits than its factorization.

114557706787680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6119535653 (or 6119535642 counting only the distinct ones).

The product of its (nonzero) digits is 553190400, while the sum is 72.

The spelling of 114557706787680 in words is "one hundred fourteen trillion, five hundred fifty-seven billion, seven hundred six million, seven hundred eighty-seven thousand, six hundred eighty".