114987656448 has 432 divisors, whose sum is σ = 388294722816. Its totient is φ = 32049561600.

The previous prime is 114987656417. The next prime is 114987656449. The reversal of 114987656448 is 844656789411.

114987656448 is a `hidden beast` number, since 11 + 49 + 87 + 65 + 6 + 448 = 666.

It is a super-2 number, since 2×114987656448² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114987656449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118911261 + ... + 118912227.

Almost surely, 2^114987656448 is an apocalyptic number.

114987656448 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 114987656448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194147361408).

114987656448 is an abundant number, since it is smaller than the sum of its proper divisors (273307066368).

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

114987656448 is a wasteful number, since it uses less digits than its factorization.

114987656448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1153 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 114987656448 in words is "one hundred fourteen billion, nine hundred eighty-seven million, six hundred fifty-six thousand, four hundred forty-eight".