1654082422272 has 720 divisors, whose sum is σ = 6046566142320. Its totient is φ = 443621670912.

The previous prime is 1654082422261. The next prime is 1654082422309. The reversal of 1654082422272 is 2722242804561.

1654082422272 is a `hidden beast` number, since 1 + 6 + 540 + 82 + 4 + 2 + 2 + 27 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4364333379 + ... + 4364333757.

It is an arithmetic number, because the mean of its divisors is an integer number (8398008531).

Almost surely, 2^{1654082422272} is an apocalyptic number.

1654082422272 is a gapful number since it is divisible by the number (12) 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 1654082422272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3023283071160).

1654082422272 is an abundant number, since it is smaller than the sum of its proper divisors (4392483720048).

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

1654082422272 is an frugal number, since it uses more digits than its factorization.

1654082422272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 1654082422272 in words is "one trillion, six hundred fifty-four billion, eighty-two million, four hundred twenty-two thousand, two hundred seventy-two".