1655282638464 has 768 divisors, whose sum is σ = 5933651189760. Its totient is φ = 404064460800.

The previous prime is 1655282638463. The next prime is 1655282638481. The reversal of 1655282638464 is 4648362825561.

It is a super-2 number, since 2×1655282638464² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1655282638398 and 1655282638407.

It is not an unprimeable number, because it can be changed into a prime (1655282638463) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 174400759 + ... + 174410249.

It is an arithmetic number, because the mean of its divisors is an integer number (7726108320).

Almost surely, 2^{1655282638464} is an apocalyptic number.

1655282638464 is a gapful number since it is divisible by the number (14) 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 1655282638464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2966825594880).

1655282638464 is an abundant number, since it is smaller than the sum of its proper divisors (4278368551296).

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

1655282638464 is a wasteful number, since it uses less digits than its factorization.

1655282638464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9589 (or 9570 counting only the distinct ones).

The product of its digits is 66355200, while the sum is 60.

The spelling of 1655282638464 in words is "one trillion, six hundred fifty-five billion, two hundred eighty-two million, six hundred thirty-eight thousand, four hundred sixty-four".