1023205642602 has 192 divisors, whose sum is σ = 2548702195200. Its totient is φ = 270712316160.

The previous prime is 1023205642531. The next prime is 1023205642633. The reversal of 1023205642602 is 2062465023201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 144741924 + ... + 144748992.

It is an arithmetic number, because the mean of its divisors is an integer number (13274490600).

Almost surely, 2^{1023205642602} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023205642602, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274351097600).

1023205642602 is an abundant number, since it is smaller than the sum of its proper divisors (1525496552598).

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

1023205642602 is a wasteful number, since it uses less digits than its factorization.

1023205642602 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7813 (or 7800 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 1023205642602 in words is "one trillion, twenty-three billion, two hundred five million, six hundred forty-two thousand, six hundred two".