114431414453000 has 128 divisors (see below), whose sum is σ = 271957277329920. Its totient is φ = 45057669465600.

The previous prime is 114431414452997. The next prime is 114431414453063. The reversal of 114431414453000 is 354414134411.

It is a super-2 number, since 2×114431414453000² (a number of 29 digits) contains 22 as substring.

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, 94740884 + ... + 95941116.

It is an arithmetic number, because the mean of its divisors is an integer number (2124666229140).

Almost surely, 2^{114431414453000} is an apocalyptic number.

114431414453000 is a gapful number since it is divisible by the number (10) 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 114431414453000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135978638664960).

114431414453000 is an abundant number, since it is smaller than the sum of its proper divisors (157525862876920).

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

114431414453000 is a wasteful number, since it uses less digits than its factorization.

114431414453000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201744 (or 1201730 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

Adding to 114431414453000 its reverse (354414134411), we get a palindrome (114785828587411).

The spelling of 114431414453000 in words is "one hundred fourteen trillion, four hundred thirty-one billion, four hundred fourteen million, four hundred fifty-three thousand".