213141970944 has 896 divisors, whose sum is σ = 770027212800. Its totient is φ = 56976998400.

The previous prime is 213141970939. The next prime is 213141970963. The reversal of 213141970944 is 449079141312.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×213141970944² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 213141970944.

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, 2110316494 + ... + 2110316594.

Almost surely, 2^213141970944 is an apocalyptic number.

213141970944 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 213141970944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385013606400).

213141970944 is an abundant number, since it is smaller than the sum of its proper divisors (556885241856).

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

213141970944 is a wasteful number, since it uses less digits than its factorization.

213141970944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 213141970944 in words is "two hundred thirteen billion, one hundred forty-one million, nine hundred seventy thousand, nine hundred forty-four".