1642026146346 has 128 divisors (see below), whose sum is σ = 3848491008000. Its totient is φ = 518187637440.

The previous prime is 1642026146329. The next prime is 1642026146407. The reversal of 1642026146346 is 6436416202461.

1642026146346 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 0 + 2 + 6 + 1 + 4 + 634 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 322026505 + ... + 322031603.

It is an arithmetic number, because the mean of its divisors is an integer number (30066336000).

Almost surely, 2^{1642026146346} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1642026146346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924245504000).

1642026146346 is an abundant number, since it is smaller than the sum of its proper divisors (2206464861654).

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

1642026146346 is a wasteful number, since it uses less digits than its factorization.

1642026146346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9281 (or 9275 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 1642026146346 in words is "one trillion, six hundred forty-two billion, twenty-six million, one hundred forty-six thousand, three hundred forty-six".