35404267945068 has 288 divisors, whose sum is σ = 103161213792000. Its totient is φ = 10138142461440.

The previous prime is 35404267945001. The next prime is 35404267945121. The reversal of 35404267945068 is 86054976240453.

35404267945068 is a `hidden beast` number, since 3 + 5 + 40 + 426 + 79 + 45 + 0 + 68 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 35404267944996 and 35404267945014.

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, 153690118 + ... + 153920306.

It is an arithmetic number, because the mean of its divisors is an integer number (358198659000).

Almost surely, 2^{35404267945068} 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 35404267945068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51580606896000).

35404267945068 is an abundant number, since it is smaller than the sum of its proper divisors (67756945846932).

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

35404267945068 is a wasteful number, since it uses less digits than its factorization.

35404267945068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230525 (or 230520 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 35404267945068 in words is "thirty-five trillion, four hundred four billion, two hundred sixty-seven million, nine hundred forty-five thousand, sixty-eight".