1639226364048 has 480 divisors, whose sum is σ = 6135145103360. Its totient is φ = 396355783680.

The previous prime is 1639226364047. The next prime is 1639226364053. The reversal of 1639226364048 is 8404636229361.

1639226364048 is a `hidden beast` number, since 1 + 6 + 3 + 9 + 226 + 3 + 6 + 404 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1639226363985 and 1639226364003.

It is not an unprimeable number, because it can be changed into a prime (1639226364043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7612065 + ... + 7824447.

Almost surely, 2^{1639226364048} is an apocalyptic number.

1639226364048 is a gapful number since it is divisible by the number (18) 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 1639226364048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3067572551680).

1639226364048 is an abundant number, since it is smaller than the sum of its proper divisors (4495918739312).

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

1639226364048 is a wasteful number, since it uses less digits than its factorization.

1639226364048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212467 (or 212458 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 1639226364048 in words is "one trillion, six hundred thirty-nine billion, two hundred twenty-six million, three hundred sixty-four thousand, forty-eight".