114953568083200 has 1728 divisors, whose sum is σ = 374702537502720. Its totient is φ = 33872412672000.

The previous prime is 114953568083183. The next prime is 114953568083213. The reversal of 114953568083200 is 2380865359411.

It is a super-4 number, since 4×114953568083200⁴ (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 195832313307 + ... + 195832313893.

It is an arithmetic number, because the mean of its divisors is an integer number (216841746240).

Almost surely, 2^{114953568083200} is an apocalyptic number.

114953568083200 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 114953568083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187351268751360).

114953568083200 is an abundant number, since it is smaller than the sum of its proper divisors (259748969419520).

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

114953568083200 is a wasteful number, since it uses less digits than its factorization.

114953568083200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 55.

The spelling of 114953568083200 in words is "one hundred fourteen trillion, nine hundred fifty-three billion, five hundred sixty-eight million, eighty-three thousand, two hundred".