114088476672 has 304 divisors, whose sum is σ = 343932272000. Its totient is φ = 37838389248.

The previous prime is 114088476661. The next prime is 114088476679. The reversal of 114088476672 is 276674880411.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114088476679) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 573308829 + ... + 573309027.

Almost surely, 2^114088476672 is an apocalyptic number.

114088476672 is a gapful number since it is divisible by the number (12) 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 114088476672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171966136000).

114088476672 is an abundant number, since it is smaller than the sum of its proper divisors (229843795328).

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

114088476672 is an frugal number, since it uses more digits than its factorization.

114088476672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 114088476672 in words is "one hundred fourteen billion, eighty-eight million, four hundred seventy-six thousand, six hundred seventy-two".