114595821398016 has 1440 divisors, whose sum is σ = 408547344965760. Its totient is φ = 31346382274560.

The previous prime is 114595821397961. The next prime is 114595821398021. The reversal of 114595821398016 is 610893128595411.

It is a happy number.

114595821398016 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 9 + 582 + 1 + 39 + 8 + 0 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 114940642830 + ... + 114940643826.

It is an arithmetic number, because the mean of its divisors is an integer number (283713434004).

Almost surely, 2^{114595821398016} is an apocalyptic number.

114595821398016 is a gapful number since it is divisible by the number (16) 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 114595821398016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204273672482880).

114595821398016 is an abundant number, since it is smaller than the sum of its proper divisors (293951523567744).

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

114595821398016 is an equidigital number, since it uses as much as digits as its factorization.

114595821398016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 63.

The spelling of 114595821398016 in words is "one hundred fourteen trillion, five hundred ninety-five billion, eight hundred twenty-one million, three hundred ninety-eight thousand, sixteen".