3663456654456 has 24 divisors (see below), whose sum is σ = 9921861772680. Its totient is φ = 1221152218128.

The previous prime is 3663456654449. The next prime is 3663456654493. The reversal of 3663456654456 is 6544566543663.

3663456654456 is a `hidden beast` number, since 3 + 6 + 6 + 34 + 5 + 6 + 6 + 544 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 3663456654393 and 3663456654402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25440671140 + ... + 25440671283.

It is an arithmetic number, because the mean of its divisors is an integer number (413410907195).

Almost surely, 2^{3663456654456} is an apocalyptic number.

3663456654456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3663456654456 is an abundant number, since it is smaller than the sum of its proper divisors (6258405118224).

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

3663456654456 is a wasteful number, since it uses less digits than its factorization.

3663456654456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50881342435 (or 50881342428 counting only the distinct ones).

The product of its digits is 559872000, while the sum is 63.

The spelling of 3663456654456 in words is "three trillion, six hundred sixty-three billion, four hundred fifty-six million, six hundred fifty-four thousand, four hundred fifty-six".