214608377984 has 768 divisors, whose sum is σ = 623558476800. Its totient is φ = 72181186560.

The previous prime is 214608377969. The next prime is 214608377999. The reversal of 214608377984 is 489773806412.

It is an interprime number because it is at equal distance from previous prime (214608377969) and next prime (214608377999).

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, 962369297 + ... + 962369519.

It is an arithmetic number, because the mean of its divisors is an integer number (811925100).

Almost surely, 2^214608377984 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 214608377984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311779238400).

214608377984 is an abundant number, since it is smaller than the sum of its proper divisors (408950098816).

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

214608377984 is a wasteful number, since it uses less digits than its factorization.

214608377984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 59.

The spelling of 214608377984 in words is "two hundred fourteen billion, six hundred eight million, three hundred seventy-seven thousand, nine hundred eighty-four".