214845870149504 has 128 divisors (see below), whose sum is σ = 472974985728000. Its totient is φ = 96392291973120.

The previous prime is 214845870149497. The next prime is 214845870149557. The reversal of 214845870149504 is 405941078548412.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×214845870149504² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 374899217 + ... + 375471855.

It is an arithmetic number, because the mean of its divisors is an integer number (3695117076000).

Almost surely, 2^{214845870149504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214845870149504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236487492864000).

214845870149504 is an abundant number, since it is smaller than the sum of its proper divisors (258129115578496).

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

214845870149504 is a wasteful number, since it uses less digits than its factorization.

214845870149504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576116 (or 576104 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 62.

The spelling of 214845870149504 in words is "two hundred fourteen trillion, eight hundred forty-five billion, eight hundred seventy million, one hundred forty-nine thousand, five hundred four".