4552693641216 has 1040 divisors, whose sum is σ = 16783870118400. Its totient is φ = 1200901718016.

The previous prime is 4552693641173. The next prime is 4552693641241. The reversal of 4552693641216 is 6121463962554.

4552693641216 is a `hidden beast` number, since 4 + 5 + 5 + 2 + 69 + 364 + 1 + 216 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1549060675 + ... + 1549063613.

Almost surely, 2^{4552693641216} is an apocalyptic number.

4552693641216 is a gapful number since it is divisible by the number (46) 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 4552693641216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8391935059200).

4552693641216 is an abundant number, since it is smaller than the sum of its proper divisors (12231176477184).

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

4552693641216 is a wasteful number, since it uses less digits than its factorization.

4552693641216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3034 (or 3003 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 4552693641216 in words is "four trillion, five hundred fifty-two billion, six hundred ninety-three million, six hundred forty-one thousand, two hundred sixteen".