213429620628 has 72 divisors (see below), whose sum is σ = 639410571072. Its totient is φ = 60979889664.

The previous prime is 213429620627. The next prime is 213429620653. The reversal of 213429620628 is 826026924312.

213429620628 is a `hidden beast` number, since 2 + 13 + 4 + 2 + 9 + 6 + 2 + 0 + 628 = 666.

213429620628 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 2×213429620628² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213429620627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15677325 + ... + 15690932.

It is an arithmetic number, because the mean of its divisors is an integer number (8880702376).

Almost surely, 2^213429620628 is an apocalyptic number.

213429620628 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

213429620628 is an abundant number, since it is smaller than the sum of its proper divisors (425980950444).

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

213429620628 is a wasteful number, since it uses less digits than its factorization.

213429620628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31368283 (or 31368269 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 213429620628 in words is "two hundred thirteen billion, four hundred twenty-nine million, six hundred twenty thousand, six hundred twenty-eight".