214561501446540 has 144 divisors (see below), whose sum is σ = 621058750534656. Its totient is φ = 55345588548480.

The previous prime is 214561501446527. The next prime is 214561501446559. The reversal of 214561501446540 is 45644105165412.

It is a self number, because there is not a number n which added to its sum of digits gives 214561501446540.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126412587 + ... + 128098653.

It is an arithmetic number, because the mean of its divisors is an integer number (4312907989824).

Almost surely, 2^{214561501446540} is an apocalyptic number.

214561501446540 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 214561501446540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310529375267328).

214561501446540 is an abundant number, since it is smaller than the sum of its proper divisors (406497249088116).

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

214561501446540 is a wasteful number, since it uses less digits than its factorization.

214561501446540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688348 (or 1688315 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 48.

The spelling of 214561501446540 in words is "two hundred fourteen trillion, five hundred sixty-one billion, five hundred one million, four hundred forty-six thousand, five hundred forty".