3561458020848 has 2560 divisors, whose sum is σ = 14470184960000. Its totient is φ = 829595934720.

The previous prime is 3561458020789. The next prime is 3561458020889. The reversal of 3561458020848 is 8480208541653.

3561458020848 is a `hidden beast` number, since 3 + 5 + 6 + 14 + 580 + 2 + 0 + 8 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3561458020794 and 3561458020803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 48787096140 + ... + 48787096212.

It is an arithmetic number, because the mean of its divisors is an integer number (5652416000).

Almost surely, 2^{3561458020848} is an apocalyptic number.

3561458020848 is a gapful number since it is divisible by the number (38) 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 3561458020848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7235092480000).

3561458020848 is an abundant number, since it is smaller than the sum of its proper divisors (10908726939152).

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

3561458020848 is a wasteful number, since it uses less digits than its factorization.

3561458020848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 3561458020848 in words is "three trillion, five hundred sixty-one billion, four hundred fifty-eight million, twenty thousand, eight hundred forty-eight".