21741147090348 has 192 divisors, whose sum is σ = 61652208844800. Its totient is φ = 5824705766400.

The previous prime is 21741147090269. The next prime is 21741147090391. The reversal of 21741147090348 is 84309074114712.

It is a super-2 number, since 2×21741147090348² (a number of 27 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 21741147090348.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 196503268 + ... + 196613876.

It is an arithmetic number, because the mean of its divisors is an integer number (321105254400).

Almost surely, 2^{21741147090348} is an apocalyptic number.

21741147090348 is a gapful number since it is divisible by the number (28) 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 21741147090348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30826104422400).

21741147090348 is an abundant number, since it is smaller than the sum of its proper divisors (39911061754452).

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

21741147090348 is a wasteful number, since it uses less digits than its factorization.

21741147090348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111900 (or 111898 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The spelling of 21741147090348 in words is "twenty-one trillion, seven hundred forty-one billion, one hundred forty-seven million, ninety thousand, three hundred forty-eight".