3545045779968 has 2160 divisors, whose sum is σ = 14366746281888. Its totient is φ = 820740096000.

The previous prime is 3545045779949. The next prime is 3545045779997. The reversal of 3545045779968 is 8699775405453.

3545045779968 is a `hidden beast` number, since 3 + 5 + 4 + 504 + 57 + 7 + 9 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3545045779896 and 3545045779905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 35099463118 + ... + 35099463218.

Almost surely, 2^{3545045779968} 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 3545045779968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7183373140944).

3545045779968 is an abundant number, since it is smaller than the sum of its proper divisors (10821700501920).

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

3545045779968 is a wasteful number, since it uses less digits than its factorization.

3545045779968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 1143072000, while the sum is 72.

The spelling of 3545045779968 in words is "three trillion, five hundred forty-five billion, forty-five million, seven hundred seventy-nine thousand, nine hundred sixty-eight".