35442471168 has 216 divisors, whose sum is σ = 110765754008. Its totient is φ = 10834477056.

The previous prime is 35442471149. The next prime is 35442471179. The reversal of 35442471168 is 86117424453.

35442471168 is a `hidden beast` number, since 3 + 5 + 442 + 47 + 1 + 168 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 110502144 + 35331969024 = 10512^2 + 187968^2 .

It is a super-2 number, since 2×35442471168² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4698696 + ... + 4706232.

Almost surely, 2^35442471168 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 35442471168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55382877004).

35442471168 is an abundant number, since it is smaller than the sum of its proper divisors (75323282840).

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

35442471168 is a wasteful number, since it uses less digits than its factorization.

35442471168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7729 (or 7712 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 35442471168 in words is "thirty-five billion, four hundred forty-two million, four hundred seventy-one thousand, one hundred sixty-eight".