3555332562816 has 768 divisors, whose sum is σ = 11365114176000. Its totient is φ = 1093712191488.

The previous prime is 3555332562781. The next prime is 3555332562829. The reversal of 3555332562816 is 6182652335553.

3555332562816 is a `hidden beast` number, since 3 + 5 + 5 + 5 + 3 + 3 + 2 + 5 + 628 + 1 + 6 = 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 95 ways as a sum of consecutive naturals, for example, 9380824515 + ... + 9380824893.

It is an arithmetic number, because the mean of its divisors is an integer number (14798325750).

Almost surely, 2^{3555332562816} is an apocalyptic number.

3555332562816 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 3555332562816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5682557088000).

3555332562816 is an abundant number, since it is smaller than the sum of its proper divisors (7809781613184).

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

3555332562816 is a wasteful number, since it uses less digits than its factorization.

3555332562816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 579 counting only the distinct ones).

The product of its digits is 19440000, while the sum is 54.

The spelling of 3555332562816 in words is "three trillion, five hundred fifty-five billion, three hundred thirty-two million, five hundred sixty-two thousand, eight hundred sixteen".