114009066952704 has 2592 divisors, whose sum is σ = 441516998482560. Its totient is φ = 28203614208000.

The previous prime is 114009066952699. The next prime is 114009066952721. The reversal of 114009066952704 is 407259660900411.

114009066952704 is a `hidden beast` number, since 1 + 1 + 400 + 90 + 66 + 95 + 2 + 7 + 0 + 4 = 666.

It is a super-2 number, since 2×114009066952704² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 247308171034 + ... + 247308171494.

It is an arithmetic number, because the mean of its divisors is an integer number (170338348180).

Almost surely, 2^{114009066952704} is an apocalyptic number.

114009066952704 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 114009066952704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220758499241280).

114009066952704 is an abundant number, since it is smaller than the sum of its proper divisors (327507931529856).

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

114009066952704 is a wasteful number, since it uses less digits than its factorization.

114009066952704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 114009066952704 in words is "one hundred fourteen trillion, nine billion, sixty-six million, nine hundred fifty-two thousand, seven hundred four".