114501045000 has 320 divisors, whose sum is σ = 368558023680. Its totient is φ = 29617056000.

The previous prime is 114501044981. The next prime is 114501045011. The reversal of 114501045000 is 540105411.

It is a super-2 number, since 2×114501045000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 107714469 + ... + 107715531.

It is an arithmetic number, because the mean of its divisors is an integer number (1151743824).

Almost surely, 2^114501045000 is an apocalyptic number.

114501045000 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 114501045000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184279011840).

114501045000 is an abundant number, since it is smaller than the sum of its proper divisors (254056978680).

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

114501045000 is a wasteful number, since it uses less digits than its factorization.

114501045000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The spelling of 114501045000 in words is "one hundred fourteen billion, five hundred one million, forty-five thousand".