214105067631450 has 144 divisors (see below), whose sum is σ = 584216927607456. Its totient is φ = 56203752528000.

The previous prime is 214105067631359. The next prime is 214105067631461. The reversal of 214105067631450 is 54136760501412.

It is a happy number.

214105067631450 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 0 + 5 + 0 + 6 + 7 + 631 + 4 + 5 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 214105067631396 and 214105067631405.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41300604 + ... + 46194696.

It is an arithmetic number, because the mean of its divisors is an integer number (4057061997274).

Almost surely, 2^{214105067631450} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214105067631450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292108463803728).

214105067631450 is an abundant number, since it is smaller than the sum of its proper divisors (370111859976006).

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

214105067631450 is a wasteful number, since it uses less digits than its factorization.

214105067631450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4895629 (or 4895621 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 214105067631450 in words is "two hundred fourteen trillion, one hundred five billion, sixty-seven million, six hundred thirty-one thousand, four hundred fifty".