33638135521536 has 4608 divisors, whose sum is σ = 145048780800000. Its totient is φ = 7584877117440.

The previous prime is 33638135521499. The next prime is 33638135521541. The reversal of 33638135521536 is 63512553183633.

It is a happy number.

33638135521536 is a `hidden beast` number, since 3 + 3 + 6 + 3 + 81 + 3 + 5 + 5 + 21 + 536 = 666.

It is a super-2 number, since 2×33638135521536² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 308606747850 + ... + 308606747958.

It is an arithmetic number, because the mean of its divisors is an integer number (31477600000).

Almost surely, 2^{33638135521536} is an apocalyptic number.

33638135521536 is a gapful number since it is divisible by the number (36) 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 33638135521536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72524390400000).

33638135521536 is an abundant number, since it is smaller than the sum of its proper divisors (111410645278464).

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

33638135521536 is a wasteful number, since it uses less digits than its factorization.

33638135521536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 201 counting only the distinct ones).

The product of its digits is 17496000, while the sum is 54.

It can be divided in two parts, 336381355 and 21536, that added together give a triangular number (336402891 = T₂₅₉₃₈).

The spelling of 33638135521536 in words is "thirty-three trillion, six hundred thirty-eight billion, one hundred thirty-five million, five hundred twenty-one thousand, five hundred thirty-six".