213333873190632 has 192 divisors, whose sum is σ = 603601296742080. Its totient is φ = 70586469176832.

The previous prime is 213333873190589. The next prime is 213333873190643. The reversal of 213333873190632 is 236091378333312.

213333873190632 is a `hidden beast` number, since 2 + 13 + 3 + 3 + 387 + 3 + 190 + 63 + 2 = 666.

It is a super-2 number, since 2×213333873190632² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4349910703 + ... + 4349959745.

It is an arithmetic number, because the mean of its divisors is an integer number (3143756753865).

Almost surely, 2^{213333873190632} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213333873190632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301800648371040).

213333873190632 is an abundant number, since it is smaller than the sum of its proper divisors (390267423551448).

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

213333873190632 is a wasteful number, since it uses less digits than its factorization.

213333873190632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65534 (or 65518 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 54.

The spelling of 213333873190632 in words is "two hundred thirteen trillion, three hundred thirty-three billion, eight hundred seventy-three million, one hundred ninety thousand, six hundred thirty-two".