35104221003456 has 336 divisors, whose sum is σ = 112353656732928. Its totient is φ = 10389785548800.

The previous prime is 35104221003431. The next prime is 35104221003461. The reversal of 35104221003456 is 65430012240153.

35104221003456 is a `hidden beast` number, since 3 + 51 + 0 + 422 + 100 + 34 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 35104221003456.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47769946 + ... + 48499238.

Almost surely, 2^{35104221003456} is an apocalyptic number.

35104221003456 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 35104221003456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56176828366464).

35104221003456 is an abundant number, since it is smaller than the sum of its proper divisors (77249435729472).

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

35104221003456 is a wasteful number, since it uses less digits than its factorization.

35104221003456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729500 (or 729487 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 35104221003456 in words is "thirty-five trillion, one hundred four billion, two hundred twenty-one million, three thousand, four hundred fifty-six".