214073017704 has 288 divisors, whose sum is σ = 731152880640. Its totient is φ = 56083104000.

The previous prime is 214073017699. The next prime is 214073017733. The reversal of 214073017704 is 407710370412.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6910009 + ... + 6940919.

It is an arithmetic number, because the mean of its divisors is an integer number (2538725280).

Almost surely, 2^214073017704 is an apocalyptic number.

214073017704 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 214073017704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365576440320).

214073017704 is an abundant number, since it is smaller than the sum of its proper divisors (517079862936).

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

214073017704 is a wasteful number, since it uses less digits than its factorization.

214073017704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31101 (or 31087 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The spelling of 214073017704 in words is "two hundred fourteen billion, seventy-three million, seventeen thousand, seven hundred four".