35636419482048 has 448 divisors, whose sum is σ = 131694974039040. Its totient is φ = 9256208670720.

The previous prime is 35636419481983. The next prime is 35636419482067. The reversal of 35636419482048 is 84028491463653.

35636419482048 is a `hidden beast` number, since 3 + 5 + 6 + 3 + 6 + 419 + 4 + 8 + 204 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 14993040 + ... + 17206512.

Almost surely, 2^{35636419482048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35636419482048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65847487019520).

35636419482048 is an abundant number, since it is smaller than the sum of its proper divisors (96058554556992).

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

35636419482048 is a wasteful number, since it uses less digits than its factorization.

35636419482048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213534 (or 2213496 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 35636419482048 in words is "thirty-five trillion, six hundred thirty-six billion, four hundred nineteen million, four hundred eighty-two thousand, forty-eight".