10438636634496 has 1920 divisors, whose sum is σ = 39937748336640. Its totient is φ = 2686310645760.

The previous prime is 10438636634477. The next prime is 10438636634507. The reversal of 10438636634496 is 69443663683401.

It is a happy number.

10438636634496 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 86 + 3 + 6 + 63 + 4 + 496 = 666.

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 polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 34002073575 + ... + 34002073881.

It is an arithmetic number, because the mean of its divisors is an integer number (20800910592).

Almost surely, 2^{10438636634496} is an apocalyptic number.

10438636634496 is a gapful number since it is divisible by the number (16) 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 10438636634496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19968874168320).

10438636634496 is an abundant number, since it is smaller than the sum of its proper divisors (29499111702144).

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

10438636634496 is a wasteful number, since it uses less digits than its factorization.

10438636634496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 161243136, while the sum is 63.

The spelling of 10438636634496 in words is "ten trillion, four hundred thirty-eight billion, six hundred thirty-six million, six hundred thirty-four thousand, four hundred ninety-six".