213235553043144 has 512 divisors, whose sum is σ = 654065280000000. Its totient is φ = 64103624073216.

The previous prime is 213235553043043. The next prime is 213235553043259. The reversal of 213235553043144 is 441340355532312.

213235553043144 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 35 + 5 + 530 + 43 + 1 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 213235553043144.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6948257752 + ... + 6948288440.

It is an arithmetic number, because the mean of its divisors is an integer number (1277471250000).

Almost surely, 2^{213235553043144} is an apocalyptic number.

213235553043144 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 213235553043144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327032640000000).

213235553043144 is an abundant number, since it is smaller than the sum of its proper divisors (440829726956856).

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

213235553043144 is a wasteful number, since it uses less digits than its factorization.

213235553043144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31570 (or 31560 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 45.

The spelling of 213235553043144 in words is "two hundred thirteen trillion, two hundred thirty-five billion, five hundred fifty-three million, forty-three thousand, one hundred forty-four".