114487758000 has 1920 divisors, whose sum is σ = 544917694464. Its totient is φ = 21676032000.

The previous prime is 114487757963. The next prime is 114487758001. The reversal of 114487758000 is 857784411.

114487758000 is a `hidden beast` number, since 114 + 487 + 7 + 58 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (114487758001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1013165944 + ... + 1013166056.

Almost surely, 2^114487758000 is an apocalyptic number.

114487758000 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 114487758000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272458847232).

114487758000 is an abundant number, since it is smaller than the sum of its proper divisors (430429936464).

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

114487758000 is a wasteful number, since it uses less digits than its factorization.

114487758000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 114487758000 in words is "one hundred fourteen billion, four hundred eighty-seven million, seven hundred fifty-eight thousand".