114050446114500 has 288 divisors, whose sum is σ = 417930699723264. Its totient is φ = 25641317664000.

The previous prime is 114050446114499. The next prime is 114050446114523. The reversal of 114050446114500 is 5411644050411.

114050446114500 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 50 + 4 + 461 + 145 + 0 + 0 = 666.

It is a super-2 number, since 2×114050446114500² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27755952 + ... + 31598951.

It is an arithmetic number, because the mean of its divisors is an integer number (1451148262928).

Almost surely, 2^{114050446114500} is an apocalyptic number.

114050446114500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114050446114500 is an abundant number, since it is smaller than the sum of its proper divisors (303880253608764).

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

114050446114500 is a wasteful number, since it uses less digits than its factorization.

114050446114500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59354996 (or 59354981 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 114050446114500 in words is "one hundred fourteen trillion, fifty billion, four hundred forty-six million, one hundred fourteen thousand, five hundred".