3646454634144 has 432 divisors, whose sum is σ = 12287899024128. Its totient is φ = 1004341054464.

The previous prime is 3646454634103. The next prime is 3646454634253. The reversal of 3646454634144 is 4414364546463.

3646454634144 is a `hidden beast` number, since 3 + 6 + 4 + 64 + 546 + 34 + 1 + 4 + 4 = 666.

It is a super-2 number, since 2×3646454634144² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 425337442 + ... + 425346014.

It is an arithmetic number, because the mean of its divisors is an integer number (28444210704).

Almost surely, 2^{3646454634144} 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 3646454634144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6143949512064).

3646454634144 is an abundant number, since it is smaller than the sum of its proper divisors (8641444389984).

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

3646454634144 is a wasteful number, since it uses less digits than its factorization.

3646454634144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8777 (or 8699 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 54.

The spelling of 3646454634144 in words is "three trillion, six hundred forty-six billion, four hundred fifty-four million, six hundred thirty-four thousand, one hundred forty-four".