20452949166384 has 640 divisors, whose sum is σ = 71068365619200. Its totient is φ = 5574443390208.

The previous prime is 20452949166371. The next prime is 20452949166449. The reversal of 20452949166384 is 48366194925402.

20452949166384 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 2 + 9 + 491 + 6 + 63 + 84 = 666.

It is a super-3 number, since 3×20452949166384³ (a number of 41 digits) contains 333 as substring.

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

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, 2157706957 + ... + 2157716435.

It is an arithmetic number, because the mean of its divisors is an integer number (111044321280).

Almost surely, 2^{20452949166384} is an apocalyptic number.

20452949166384 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 20452949166384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35534182809600).

20452949166384 is an abundant number, since it is smaller than the sum of its proper divisors (50615416452816).

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

20452949166384 is an equidigital number, since it uses as much as digits as its factorization.

20452949166384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9921 (or 9897 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 20452949166384 in words is "twenty trillion, four hundred fifty-two billion, nine hundred forty-nine million, one hundred sixty-six thousand, three hundred eighty-four".