3663953022912 has 1792 divisors, whose sum is σ = 13449668198400. Its totient is φ = 871961739264.

The previous prime is 3663953022901. The next prime is 3663953022929. The reversal of 3663953022912 is 2192203593663.

It is a super-3 number, since 3×3663953022912³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 34242551563 + ... + 34242551669.

It is an arithmetic number, because the mean of its divisors is an integer number (7505395200).

Almost surely, 2^{3663953022912} is an apocalyptic number.

3663953022912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3663953022912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6724834099200).

3663953022912 is an abundant number, since it is smaller than the sum of its proper divisors (9785715175488).

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

3663953022912 is a wasteful number, since it uses less digits than its factorization.

3663953022912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 51.

The spelling of 3663953022912 in words is "three trillion, six hundred sixty-three billion, nine hundred fifty-three million, twenty-two thousand, nine hundred twelve".