114880147200 has 1944 divisors, whose sum is σ = 536387918976. Its totient is φ = 23224320000.

The previous prime is 114880147163. The next prime is 114880147237. The reversal of 114880147200 is 2741088411.

114880147200 is a `hidden beast` number, since 11 + 488 + 0 + 147 + 20 + 0 = 666.

114880147200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (114880147163) and next prime (114880147237).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1137427150 + ... + 1137427250.

Almost surely, 2^114880147200 is an apocalyptic number.

114880147200 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 114880147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268193959488).

114880147200 is an abundant number, since it is smaller than the sum of its proper divisors (421507771776).

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

114880147200 is a wasteful number, since it uses less digits than its factorization.

114880147200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 114880147200 in words is "one hundred fourteen billion, eight hundred eighty million, one hundred forty-seven thousand, two hundred".