214804329090 has 256 divisors, whose sum is σ = 595016368128. Its totient is φ = 49161240576.

The previous prime is 214804329079. The next prime is 214804329101. The reversal of 214804329090 is 90923408412.

It is an interprime number because it is at equal distance from previous prime (214804329079) and next prime (214804329101).

It is a super-2 number, since 2×214804329090² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 283756992 + ... + 283757748.

It is an arithmetic number, because the mean of its divisors is an integer number (2324282688).

Almost surely, 2^214804329090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214804329090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297508184064).

214804329090 is an abundant number, since it is smaller than the sum of its proper divisors (380212039038).

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

214804329090 is a wasteful number, since it uses less digits than its factorization.

214804329090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261.

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 214804329090 in words is "two hundred fourteen billion, eight hundred four million, three hundred twenty-nine thousand, ninety".