3656307066048 has 504 divisors, whose sum is σ = 13615266751632. Its totient is φ = 964298151936.

The previous prime is 3656307066031. The next prime is 3656307066067. The reversal of 3656307066048 is 8406607036563.

3656307066048 is a `hidden beast` number, since 3 + 6 + 563 + 0 + 70 + 6 + 6 + 0 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×3656307066048² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3656307065985 and 3656307066003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9722086 + ... + 10091162.

It is an arithmetic number, because the mean of its divisors is an integer number (27014418158).

Almost surely, 2^{3656307066048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3656307066048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6807633375816).

3656307066048 is an abundant number, since it is smaller than the sum of its proper divisors (9958959685584).

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

3656307066048 is a wasteful number, since it uses less digits than its factorization.

3656307066048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369131 (or 369102 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 3656307066048 in words is "three trillion, six hundred fifty-six billion, three hundred seven million, sixty-six thousand, forty-eight".