35442116046 has 72 divisors (see below), whose sum is σ = 79659443136. Its totient is φ = 11376754560.

The previous prime is 35442116011. The next prime is 35442116071. The reversal of 35442116046 is 64061124453.

35442116046 is a `hidden beast` number, since 3 + 5 + 4 + 42 + 1 + 1 + 604 + 6 = 666.

It is a super-2 number, since 2×35442116046² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 35442116046.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 81852246 + ... + 81852678.

Almost surely, 2^35442116046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35442116046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39829721568).

35442116046 is an abundant number, since it is smaller than the sum of its proper divisors (44217327090).

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

35442116046 is a wasteful number, since it uses less digits than its factorization.

35442116046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 35442116046 in words is "thirty-five billion, four hundred forty-two million, one hundred sixteen thousand, forty-six".