213450554043342 has 768 divisors, whose sum is σ = 632516511744000. Its totient is φ = 50335756922880.

The previous prime is 213450554043263. The next prime is 213450554043371. The reversal of 213450554043342 is 243340455054312.

213450554043342 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 50 + 554 + 0 + 4 + 3 + 3 + 42 = 666.

213450554043342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×213450554043342² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 50117526409 + ... + 50117530667.

It is an arithmetic number, because the mean of its divisors is an integer number (823589208000).

Almost surely, 2^{213450554043342} is an apocalyptic number.

213450554043342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 213450554043342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316258255872000).

213450554043342 is an abundant number, since it is smaller than the sum of its proper divisors (419065957700658).

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

213450554043342 is a wasteful number, since it uses less digits than its factorization.

213450554043342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5021 (or 5018 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

The spelling of 213450554043342 in words is "two hundred thirteen trillion, four hundred fifty billion, five hundred fifty-four million, forty-three thousand, three hundred forty-two".