214002045824 has 128 divisors (see below), whose sum is σ = 493973760000. Its totient is φ = 90449768448.

The previous prime is 214002045823. The next prime is 214002045827. The reversal of 214002045824 is 428540200412.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214002045823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113890517 + ... + 113892395.

It is an arithmetic number, because the mean of its divisors is an integer number (3859170000).

Almost surely, 2^214002045824 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 214002045824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246986880000).

214002045824 is an abundant number, since it is smaller than the sum of its proper divisors (279971714176).

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

214002045824 is a wasteful number, since it uses less digits than its factorization.

214002045824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3588 (or 3576 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 32.

The spelling of 214002045824 in words is "two hundred fourteen billion, two million, forty-five thousand, eight hundred twenty-four".