3466745542656 has 576 divisors, whose sum is σ = 11765899192320. Its totient is φ = 972398592000.

The previous prime is 3466745542597. The next prime is 3466745542657. The reversal of 3466745542656 is 6562455476643.

It is a happy number.

3466745542656 is a `hidden beast` number, since 3 + 4 + 6 + 6 + 7 + 4 + 554 + 26 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 3466745542593 and 3466745542602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3466745542657) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144550186 + ... + 144574166.

It is an arithmetic number, because the mean of its divisors is an integer number (20426908320).

Almost surely, 2^{3466745542656} is an apocalyptic number.

3466745542656 is a gapful number since it is divisible by the number (36) 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 3466745542656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5882949596160).

3466745542656 is an abundant number, since it is smaller than the sum of its proper divisors (8299153649664).

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

3466745542656 is a wasteful number, since it uses less digits than its factorization.

3466745542656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24074 (or 24051 counting only the distinct ones).

The product of its digits is 435456000, while the sum is 63.

The spelling of 3466745542656 in words is "three trillion, four hundred sixty-six billion, seven hundred forty-five million, five hundred forty-two thousand, six hundred fifty-six".