212346641537856 has 840 divisors, whose sum is σ = 757939297610880. Its totient is φ = 58542917142528.

The previous prime is 212346641537843. The next prime is 212346641537887. The reversal of 212346641537856 is 658735146643212.

It is a happy number.

212346641537856 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 4 + 6 + 6 + 41 + 537 + 8 + 56 = 666.

It is a super-2 number, since 2×212346641537856² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 212346641537793 and 212346641537802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13605851205 + ... + 13605866811.

It is an arithmetic number, because the mean of its divisors is an integer number (902308687632).

Almost surely, 2^{212346641537856} 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 212346641537856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378969648805440).

212346641537856 is an abundant number, since it is smaller than the sum of its proper divisors (545592656073024).

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

212346641537856 is a wasteful number, since it uses less digits than its factorization.

212346641537856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17521 (or 17495 counting only the distinct ones).

The product of its digits is 174182400, while the sum is 63.

The spelling of 212346641537856 in words is "two hundred twelve trillion, three hundred forty-six billion, six hundred forty-one million, five hundred thirty-seven thousand, eight hundred fifty-six".