213132250944 has 448 divisors, whose sum is σ = 682990963200. Its totient is φ = 64910131200.

The previous prime is 213132250943. The next prime is 213132250949. The reversal of 213132250944 is 449052231312.

213132250944 is a `hidden beast` number, since 2 + 1 + 313 + 2 + 250 + 94 + 4 = 666.

It is a super-2 number, since 2×213132250944² (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 junction number, because it is equal to n+sod(n) for n = 213132250899 and 213132250908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213132250943) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 374573092 + ... + 374573660.

It is an arithmetic number, because the mean of its divisors is an integer number (1524533400).

Almost surely, 2^213132250944 is an apocalyptic number.

213132250944 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 213132250944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341495481600).

213132250944 is an abundant number, since it is smaller than the sum of its proper divisors (469858712256).

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

213132250944 is a wasteful number, since it uses less digits than its factorization.

213132250944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 213132250944 in words is "two hundred thirteen billion, one hundred thirty-two million, two hundred fifty thousand, nine hundred forty-four".