20846389197816 has 512 divisors, whose sum is σ = 72649301760000. Its totient is φ = 5391623098368.

The previous prime is 20846389197761. The next prime is 20846389197839. The reversal of 20846389197816 is 61879198364802.

20846389197816 is a `hidden beast` number, since 2 + 0 + 8 + 46 + 389 + 197 + 8 + 16 = 666.

It is a super-2 number, since 2×20846389197816² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3176347351 + ... + 3176353913.

It is an arithmetic number, because the mean of its divisors is an integer number (141893167500).

Almost surely, 2^{20846389197816} is an apocalyptic number.

20846389197816 is a gapful number since it is divisible by the number (26) 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 20846389197816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36324650880000).

20846389197816 is an abundant number, since it is smaller than the sum of its proper divisors (51802912562184).

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

20846389197816 is a wasteful number, since it uses less digits than its factorization.

20846389197816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9700 (or 9690 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 20846389197816 in words is "twenty trillion, eight hundred forty-six billion, three hundred eighty-nine million, one hundred ninety-seven thousand, eight hundred sixteen".