214005143015664 has 480 divisors, whose sum is σ = 762018484695552. Its totient is φ = 50341806028800.

The previous prime is 214005143015627. The next prime is 214005143015711. The reversal of 214005143015664 is 466510341500412.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24192099 + ... + 31831869.

Almost surely, 2^{214005143015664} is an apocalyptic number.

214005143015664 is a gapful number since it is divisible by the number (24) 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 214005143015664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381009242347776).

214005143015664 is an abundant number, since it is smaller than the sum of its proper divisors (548013341679888).

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

214005143015664 is a wasteful number, since it uses less digits than its factorization.

214005143015664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7639877 (or 7639860 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 214005143015664 in words is "two hundred fourteen trillion, five billion, one hundred forty-three million, fifteen thousand, six hundred sixty-four".