114721139904 has 224 divisors, whose sum is σ = 374462161920. Its totient is φ = 30271008768.

The previous prime is 114721139893. The next prime is 114721139921. The reversal of 114721139904 is 409931127411.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×114721139904² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 832462 + ... + 960434.

It is an arithmetic number, because the mean of its divisors is an integer number (1671706080).

Almost surely, 2^114721139904 is an apocalyptic number.

114721139904 is a gapful number since it is divisible by the number (14) 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 114721139904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187231080960).

114721139904 is an abundant number, since it is smaller than the sum of its proper divisors (259741022016).

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

114721139904 is a wasteful number, since it uses less digits than its factorization.

114721139904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128047 (or 128037 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The spelling of 114721139904 in words is "one hundred fourteen billion, seven hundred twenty-one million, one hundred thirty-nine thousand, nine hundred four".