212490246652992 has 560 divisors, whose sum is σ = 798624986480640. Its totient is φ = 54256803609600.

The previous prime is 212490246652979. The next prime is 212490246652993. The reversal of 212490246652992 is 299256642094212.

212490246652992 is a `hidden beast` number, since 2 + 1 + 2 + 49 + 0 + 2 + 4 + 66 + 529 + 9 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (212490246652993) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19039617 + ... + 28062207.

Almost surely, 2^{212490246652992} is an apocalyptic number.

212490246652992 is a gapful number since it is divisible by the number (22) 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 212490246652992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399312493240320).

212490246652992 is an abundant number, since it is smaller than the sum of its proper divisors (586134739827648).

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

212490246652992 is a wasteful number, since it uses less digits than its factorization.

212490246652992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9022692 (or 9022673 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 212490246652992 in words is "two hundred twelve trillion, four hundred ninety billion, two hundred forty-six million, six hundred fifty-two thousand, nine hundred ninety-two".