114048858000 has 640 divisors, whose sum is σ = 478399094784. Its totient is φ = 22665984000.

The previous prime is 114048857971. The next prime is 114048858029. The reversal of 114048858000 is 858840411.

It is an interprime number because it is at equal distance from previous prime (114048857971) and next prime (114048858029).

It is a super-2 number, since 2×114048858000² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114048858000.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10620634 + ... + 10631366.

Almost surely, 2^114048858000 is an apocalyptic number.

114048858000 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 114048858000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239199547392).

114048858000 is an abundant number, since it is smaller than the sum of its proper divisors (364350236784).

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

114048858000 is a wasteful number, since it uses less digits than its factorization.

114048858000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10800 (or 10784 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 39.

The spelling of 114048858000 in words is "one hundred fourteen billion, forty-eight million, eight hundred fifty-eight thousand".