114472984939488 has 1440 divisors, whose sum is σ = 411960143282688. Its totient is φ = 31060466841600.

The previous prime is 114472984939487. The next prime is 114472984939529. The reversal of 114472984939488 is 884939489274411.

It is a happy number.

114472984939488 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 7 + 2 + 98 + 49 + 3 + 9 + 488 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114472984939487) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 34365949983 + ... + 34365953313.

Almost surely, 2^{114472984939488} is an apocalyptic number.

114472984939488 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 114472984939488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205980071641344).

114472984939488 is an abundant number, since it is smaller than the sum of its proper divisors (297487158343200).

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

114472984939488 is a wasteful number, since it uses less digits than its factorization.

114472984939488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3578 (or 3554 counting only the distinct ones).

The product of its digits is 4013162496, while the sum is 81.

The spelling of 114472984939488 in words is "one hundred fourteen trillion, four hundred seventy-two billion, nine hundred eighty-four million, nine hundred thirty-nine thousand, four hundred eighty-eight".