114198785037360 has 480 divisors, whose sum is σ = 390645902687040. Its totient is φ = 29891308290048.

The previous prime is 114198785037347. The next prime is 114198785037413. The reversal of 114198785037360 is 63730587891411.

114198785037360 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 98 + 7 + 8 + 503 + 7 + 36 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11842656699 + ... + 11842666341.

It is an arithmetic number, because the mean of its divisors is an integer number (813845630598).

Almost surely, 2^{114198785037360} is an apocalyptic number.

114198785037360 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 114198785037360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195322951343520).

114198785037360 is an abundant number, since it is smaller than the sum of its proper divisors (276447117649680).

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

114198785037360 is a wasteful number, since it uses less digits than its factorization.

114198785037360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10797 (or 10788 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 114198785037360 in words is "one hundred fourteen trillion, one hundred ninety-eight billion, seven hundred eighty-five million, thirty-seven thousand, three hundred sixty".