1002345006336 has 72 divisors (see below), whose sum is σ = 2679451916064. Its totient is φ = 332643072000.

The previous prime is 1002345006323. The next prime is 1002345006379. The reversal of 1002345006336 is 6336005432001.

It is a junction number, because it is equal to n+sod(n) for n = 1002345006297 and 1002345006306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2700415 + ... + 3049086.

Almost surely, 2^{1002345006336} is an apocalyptic number.

1002345006336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1002345006336 is an abundant number, since it is smaller than the sum of its proper divisors (1677106909728).

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

1002345006336 is an equidigital number, since it uses as much as digits as its factorization.

1002345006336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5749747 (or 5749733 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 33.

The spelling of 1002345006336 in words is "one trillion, two billion, three hundred forty-five million, six thousand, three hundred thirty-six".