214002045792 has 384 divisors, whose sum is σ = 665725132800. Its totient is φ = 66692160000.

The previous prime is 214002045787. The next prime is 214002045823. The reversal of 214002045792 is 297540200412.

214002045792 is a `hidden beast` number, since 21 + 40 + 0 + 20 + 4 + 579 + 2 = 666.

It is a super-2 number, since 2×214002045792² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 688109317 + ... + 688109627.

It is an arithmetic number, because the mean of its divisors is an integer number (1733659200).

Almost surely, 2^214002045792 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 214002045792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332862566400).

214002045792 is an abundant number, since it is smaller than the sum of its proper divisors (451723087008).

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

214002045792 is a wasteful number, since it uses less digits than its factorization.

214002045792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

It can be divided in two parts, 2140020 and 45792, that added together give a palindrome (2185812).

The spelling of 214002045792 in words is "two hundred fourteen billion, two million, forty-five thousand, seven hundred ninety-two".