212645260050432 has 1440 divisors, whose sum is σ = 679263999321600. Its totient is φ = 58925116293120.

The previous prime is 212645260050383. The next prime is 212645260050463. The reversal of 212645260050432 is 234050062546212.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 519915061044 + ... + 519915061452.

It is an arithmetic number, because the mean of its divisors is an integer number (471711110640).

Almost surely, 2^{212645260050432} is an apocalyptic number.

212645260050432 is a gapful number since it is divisible by the number (22) 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 212645260050432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339631999660800).

212645260050432 is an abundant number, since it is smaller than the sum of its proper divisors (466618739271168).

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

212645260050432 is a wasteful number, since it uses less digits than its factorization.

212645260050432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 212645260050432 in words is "two hundred twelve trillion, six hundred forty-five billion, two hundred sixty million, fifty thousand, four hundred thirty-two".