35562312145242 has 160 divisors (see below), whose sum is σ = 87580704934800. Its totient is φ = 10735314573312.

The previous prime is 35562312145211. The next prime is 35562312145249. The reversal of 35562312145242 is 24254121326553.

35562312145242 is a `hidden beast` number, since 3 + 5 + 5 + 623 + 1 + 2 + 14 + 5 + 2 + 4 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 20051955599481 + 15510356545761 = 4477941^2 + 3938319^2 .

It is not an unprimeable number, because it can be changed into a prime (35562312145249) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22640884 + ... + 24160592.

Almost surely, 2^{35562312145242} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35562312145242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43790352467400).

35562312145242 is an abundant number, since it is smaller than the sum of its proper divisors (52018392789558).

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

35562312145242 is a wasteful number, since it uses less digits than its factorization.

35562312145242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520062 (or 1520053 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 45.

The spelling of 35562312145242 in words is "thirty-five trillion, five hundred sixty-two billion, three hundred twelve million, one hundred forty-five thousand, two hundred forty-two".