212511347064 has 128 divisors (see below), whose sum is σ = 611018956800. Its totient is φ = 68364466560.

The previous prime is 212511347017. The next prime is 212511347099. The reversal of 212511347064 is 460743115212.

212511347064 is a `hidden beast` number, since 2 + 1 + 251 + 1 + 347 + 0 + 64 = 666.

It is a super-3 number, since 3×212511347064³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2414194 + ... + 2500670.

It is an arithmetic number, because the mean of its divisors is an integer number (4773585600).

Almost surely, 2^212511347064 is an apocalyptic number.

212511347064 is a gapful number since it is divisible by the number (24) 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 212511347064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305509478400).

212511347064 is an abundant number, since it is smaller than the sum of its proper divisors (398507609736).

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

212511347064 is a wasteful number, since it uses less digits than its factorization.

212511347064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86890 (or 86880 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 212511347064 in words is "two hundred twelve billion, five hundred eleven million, three hundred forty-seven thousand, sixty-four".