35104645064016 has 480 divisors, whose sum is σ = 114386105427840. Its totient is φ = 10219891046400.

The previous prime is 35104645063967. The next prime is 35104645064023. The reversal of 35104645064016 is 61046054640153.

35104645064016 is a `hidden beast` number, since 3 + 51 + 0 + 46 + 4 + 506 + 40 + 16 = 666.

It is a super-3 number, since 3×35104645064016³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 535940580 + ... + 536006076.

It is an arithmetic number, because the mean of its divisors is an integer number (238304386308).

Almost surely, 2^{35104645064016} is an apocalyptic number.

35104645064016 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 35104645064016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57193052713920).

35104645064016 is an abundant number, since it is smaller than the sum of its proper divisors (79281460363824).

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

35104645064016 is a wasteful number, since it uses less digits than its factorization.

35104645064016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65672 (or 65617 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 35104645064016 in words is "thirty-five trillion, one hundred four billion, six hundred forty-five million, sixty-four thousand, sixteen".