4014545584608 has 480 divisors, whose sum is σ = 12851878175136. Its totient is φ = 1222007980032.

The previous prime is 4014545584603. The next prime is 4014545584627. The reversal of 4014545584608 is 8064855454104.

4014545584608 is a `hidden beast` number, since 4 + 0 + 1 + 4 + 54 + 5 + 584 + 6 + 0 + 8 = 666.

It is a super-2 number, since 2×4014545584608² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (4014545584603) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1279738816 + ... + 1279741952.

Almost surely, 2^{4014545584608} is an apocalyptic number.

4014545584608 is a gapful number since it is divisible by the number (48) 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 4014545584608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6425939087568).

4014545584608 is an abundant number, since it is smaller than the sum of its proper divisors (8837332590528).

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

4014545584608 is a wasteful number, since it uses less digits than its factorization.

4014545584608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3568 (or 3551 counting only the distinct ones).

The product of its (nonzero) digits is 12288000, while the sum is 54.

The spelling of 4014545584608 in words is "four trillion, fourteen billion, five hundred forty-five million, five hundred eighty-four thousand, six hundred eight".