114050001672 has 160 divisors (see below), whose sum is σ = 335975143680. Its totient is φ = 36095829120.

The previous prime is 114050001647. The next prime is 114050001679. The reversal of 114050001672 is 276100050411.

It is a happy number.

114050001672 is a `hidden beast` number, since 1 + 140 + 500 + 0 + 16 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (114050001679) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1011103 + ... + 1118225.

It is an arithmetic number, because the mean of its divisors is an integer number (2099844648).

Almost surely, 2^114050001672 is an apocalyptic number.

114050001672 is a gapful number since it is divisible by the number (12) 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 114050001672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167987571840).

114050001672 is an abundant number, since it is smaller than the sum of its proper divisors (221925142008).

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

114050001672 is a wasteful number, since it uses less digits than its factorization.

114050001672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107225 (or 107212 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 114050001672 in words is "one hundred fourteen billion, fifty million, one thousand, six hundred seventy-two".