20100341745792 has 2304 divisors, whose sum is σ = 79680696975360. Its totient is φ = 4897760256000.

The previous prime is 20100341745767. The next prime is 20100341745817. The reversal of 20100341745792 is 29754714300102.

20100341745792 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 0 + 3 + 4 + 1 + 74 + 579 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (20100341745767) and next prime (20100341745817).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 74171002617 + ... + 74171002887.

It is an arithmetic number, because the mean of its divisors is an integer number (34583635840).

Almost surely, 2^{20100341745792} is an apocalyptic number.

20100341745792 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 20100341745792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39840348487680).

20100341745792 is an abundant number, since it is smaller than the sum of its proper divisors (59580355229568).

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

20100341745792 is an equidigital number, since it uses as much as digits as its factorization.

20100341745792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 20100341745792 in words is "twenty trillion, one hundred billion, three hundred forty-one million, seven hundred forty-five thousand, seven hundred ninety-two".