114421196064 has 384 divisors, whose sum is σ = 374451517440. Its totient is φ = 29847896064.

The previous prime is 114421196059. The next prime is 114421196101. The reversal of 114421196064 is 460691124411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80070102 + ... + 80071530.

It is an arithmetic number, because the mean of its divisors is an integer number (975134160).

Almost surely, 2^114421196064 is an apocalyptic number.

114421196064 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 114421196064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187225758720).

114421196064 is an abundant number, since it is smaller than the sum of its proper divisors (260030321376).

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

114421196064 is a wasteful number, since it uses less digits than its factorization.

114421196064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 114421196064 in words is "one hundred fourteen billion, four hundred twenty-one million, one hundred ninety-six thousand, sixty-four".