212477682438 has 256 divisors, whose sum is σ = 577148682240. Its totient is φ = 56627569152.

The previous prime is 212477682433. The next prime is 212477682497. The reversal of 212477682438 is 834286774212.

212477682438 is a `hidden beast` number, since 2 + 124 + 7 + 7 + 6 + 82 + 438 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212477682433) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 137703495 + ... + 137705037.

It is an arithmetic number, because the mean of its divisors is an integer number (2254487040).

Almost surely, 2^212477682438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212477682438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288574341120).

212477682438 is an abundant number, since it is smaller than the sum of its proper divisors (364670999802).

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

212477682438 is a wasteful number, since it uses less digits than its factorization.

212477682438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968 (or 1962 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The spelling of 212477682438 in words is "two hundred twelve billion, four hundred seventy-seven million, six hundred eighty-two thousand, four hundred thirty-eight".