114683689524096 has 3840 divisors, whose sum is σ = 462057560616960. Its totient is φ = 27590492160000.

The previous prime is 114683689524091. The next prime is 114683689524101. The reversal of 114683689524096 is 690425986386411.

114683689524096 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 8 + 3 + 6 + 8 + 9 + 524 + 0 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (114683689524091) and next prime (114683689524101).

It is a super-2 number, since 2×114683689524096² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114683689524091) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1135482074446 + ... + 1135482074546.

It is an arithmetic number, because the mean of its divisors is an integer number (120327489744).

Almost surely, 2^{114683689524096} is an apocalyptic number.

114683689524096 is a gapful number since it is divisible by the number (16) 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 114683689524096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231028780308480).

114683689524096 is an abundant number, since it is smaller than the sum of its proper divisors (347373871092864).

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

114683689524096 is a wasteful number, since it uses less digits than its factorization.

114683689524096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 537477120, while the sum is 72.

The spelling of 114683689524096 in words is "one hundred fourteen trillion, six hundred eighty-three billion, six hundred eighty-nine million, five hundred twenty-four thousand, ninety-six".