213421922064 has 200 divisors, whose sum is σ = 667212425880. Its totient is φ = 65471680512.

The previous prime is 213421922039. The next prime is 213421922099. The reversal of 213421922064 is 460229124312.

It is a happy number.

213421922064 is a `hidden beast` number, since 2 + 1 + 3 + 421 + 9 + 220 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5868785664 + 207553136400 = 76608^2 + 455580^2 .

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 39 ways as a sum of consecutive naturals, for example, 5658982 + ... + 5696570.

Almost surely, 2^213421922064 is an apocalyptic number.

213421922064 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 213421922064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333606212940).

213421922064 is an abundant number, since it is smaller than the sum of its proper divisors (453790503816).

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

213421922064 is a wasteful number, since it uses less digits than its factorization.

213421922064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37959 (or 37944 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

It can be divided in two parts, 21342 and 1922064, that added together give a triangular number (1943406 = T₁₉₇₁).

The spelling of 213421922064 in words is "two hundred thirteen billion, four hundred twenty-one million, nine hundred twenty-two thousand, sixty-four".