214501545345040 has 160 divisors (see below), whose sum is σ = 537367369144320. Its totient is φ = 79365691786752.

The previous prime is 214501545345037. The next prime is 214501545345049. The reversal of 214501545345040 is 40543545105412.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (214501545345049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180258087 + ... + 181444153.

It is an arithmetic number, because the mean of its divisors is an integer number (3358546057152).

Almost surely, 2^{214501545345040} is an apocalyptic number.

214501545345040 is a gapful number since it is divisible by the number (20) 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 214501545345040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268683684572160).

214501545345040 is an abundant number, since it is smaller than the sum of its proper divisors (322865823799280).

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

214501545345040 is a wasteful number, since it uses less digits than its factorization.

214501545345040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188909 (or 1188903 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 43.

The spelling of 214501545345040 in words is "two hundred fourteen trillion, five hundred one billion, five hundred forty-five million, three hundred forty-five thousand, forty".