357312465642 has 128 divisors (see below), whose sum is σ = 823615672320. Its totient is φ = 102362261760.

The previous prime is 357312465607. The next prime is 357312465673. The reversal of 357312465642 is 246564213753.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 357312465591 and 357312465600.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15942388 + ... + 15964784.

It is an arithmetic number, because the mean of its divisors is an integer number (6434497440).

Almost surely, 2^357312465642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 357312465642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411807836160).

357312465642 is an abundant number, since it is smaller than the sum of its proper divisors (466303206678).

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

357312465642 is a wasteful number, since it uses less digits than its factorization.

357312465642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22636.

The product of its digits is 3628800, while the sum is 48.

The spelling of 357312465642 in words is "three hundred fifty-seven billion, three hundred twelve million, four hundred sixty-five thousand, six hundred forty-two".