214146631190784 has 288 divisors, whose sum is σ = 594303995084800. Its totient is φ = 68379063459840.

The previous prime is 214146631190719. The next prime is 214146631190801. The reversal of 214146631190784 is 487091136641412.

It is a happy number.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2696240097 + ... + 2696319519.

Almost surely, 2^{214146631190784} is an apocalyptic number.

214146631190784 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 214146631190784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297151997542400).

214146631190784 is an abundant number, since it is smaller than the sum of its proper divisors (380157363894016).

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

214146631190784 is a wasteful number, since it uses less digits than its factorization.

214146631190784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80621 (or 80607 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 214146631190784 in words is "two hundred fourteen trillion, one hundred forty-six billion, six hundred thirty-one million, one hundred ninety thousand, seven hundred eighty-four".