114937012685760 has 448 divisors, whose sum is σ = 386610786100224. Its totient is φ = 28869532876800.

The previous prime is 114937012685707. The next prime is 114937012685771. The reversal of 114937012685760 is 67586210739411.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 114937012685694 and 114937012685703.

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 63 ways as a sum of consecutive naturals, for example, 4765006500 + ... + 4765030620.

It is an arithmetic number, because the mean of its divisors is an integer number (862970504688).

It is a 1-persistent number, because it is pandigital, but 2⋅114937012685760 = 229874025371520 is not.

Almost surely, 2^{114937012685760} is an apocalyptic number.

114937012685760 is a gapful number since it is divisible by the number (10) 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 114937012685760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193305393050112).

114937012685760 is an abundant number, since it is smaller than the sum of its proper divisors (271673773414464).

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

114937012685760 is a wasteful number, since it uses less digits than its factorization.

114937012685760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27452 (or 27442 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 60.

The spelling of 114937012685760 in words is "one hundred fourteen trillion, nine hundred thirty-seven billion, twelve million, six hundred eighty-five thousand, seven hundred sixty".