3516797546496 has 312 divisors, whose sum is σ = 11415492125856. Its totient is φ = 1035040849920.

The previous prime is 3516797546489. The next prime is 3516797546501. The reversal of 3516797546496 is 6946457976153.

3516797546496 is a `hidden beast` number, since 3 + 5 + 1 + 6 + 7 + 9 + 75 + 464 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (312).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10862806 + ... + 11181866.

It is an arithmetic number, because the mean of its divisors is an integer number (36588115788).

Almost surely, 2^{3516797546496} is an apocalyptic number.

3516797546496 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 3516797546496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5707746062928).

3516797546496 is an abundant number, since it is smaller than the sum of its proper divisors (7898694579360).

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

3516797546496 is a wasteful number, since it uses less digits than its factorization.

3516797546496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319127 (or 319102 counting only the distinct ones).

The product of its digits is 1028764800, while the sum is 72.

The spelling of 3516797546496 in words is "three trillion, five hundred sixteen billion, seven hundred ninety-seven million, five hundred forty-six thousand, four hundred ninety-six".