114524142024000 has 224 divisors, whose sum is σ = 378229864311936. Its totient is φ = 30534025420800.

The previous prime is 114524142023939. The next prime is 114524142024049. The reversal of 114524142024000 is 420241425411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127881784 + ... + 128774216.

It is an arithmetic number, because the mean of its divisors is an integer number (1688526179964).

Almost surely, 2^{114524142024000} is an apocalyptic number.

114524142024000 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 114524142024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189114932155968).

114524142024000 is an abundant number, since it is smaller than the sum of its proper divisors (263705722287936).

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

114524142024000 is an equidigital number, since it uses as much as digits as its factorization.

114524142024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897810 (or 897790 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 114524142024000 its reverse (420241425411), we get a palindrome (114944383449411).

The spelling of 114524142024000 in words is "one hundred fourteen trillion, five hundred twenty-four billion, one hundred forty-two million, twenty-four thousand".