114414894720 has 384 divisors, whose sum is σ = 471165776640. Its totient is φ = 25014730752.

The previous prime is 114414894719. The next prime is 114414894739. The reversal of 114414894720 is 27498414411.

114414894720 is a `hidden beast` number, since 1 + 144 + 1 + 489 + 4 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×114414894720³ (a number of 34 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 865672 + ... + 989048.

It is an arithmetic number, because the mean of its divisors is an integer number (1226994210).

Almost surely, 2^114414894720 is an apocalyptic number.

114414894720 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 114414894720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235582888320).

114414894720 is an abundant number, since it is smaller than the sum of its proper divisors (356750881920).

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

114414894720 is a wasteful number, since it uses less digits than its factorization.

114414894720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123432 (or 123417 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 114414894720 in words is "one hundred fourteen billion, four hundred fourteen million, eight hundred ninety-four thousand, seven hundred twenty".