212798414892492 has 768 divisors, whose sum is σ = 681158467584000. Its totient is φ = 56564340940800.

The previous prime is 212798414892463. The next prime is 212798414892493. The reversal of 212798414892492 is 294298414897212.

212798414892492 is a `hidden beast` number, since 2 + 1 + 2 + 7 + 9 + 8 + 4 + 1 + 48 + 92 + 492 = 666.

It is a super-2 number, since 2×212798414892492² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212798414892492.

It is not an unprimeable number, because it can be changed into a prime (212798414892493) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 28783766748 + ... + 28783774140.

It is an arithmetic number, because the mean of its divisors is an integer number (886925088000).

Almost surely, 2^{212798414892492} is an apocalyptic number.

212798414892492 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 212798414892492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340579233792000).

212798414892492 is an abundant number, since it is smaller than the sum of its proper divisors (468360052691508).

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

212798414892492 is a wasteful number, since it uses less digits than its factorization.

212798414892492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8539 (or 8531 counting only the distinct ones).

The product of its digits is 334430208, while the sum is 72.

The spelling of 212798414892492 in words is "two hundred twelve trillion, seven hundred ninety-eight billion, four hundred fourteen million, eight hundred ninety-two thousand, four hundred ninety-two".