3561365487456 has 576 divisors, whose sum is σ = 12231780986880. Its totient is φ = 961452011520.

The previous prime is 3561365487439. The next prime is 3561365487473. The reversal of 3561365487456 is 6547845631653.

3561365487456 is a `hidden beast` number, since 3 + 5 + 6 + 1 + 36 + 548 + 7 + 4 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (3561365487439) and next prime (3561365487473).

It is a super-3 number, since 3×3561365487456³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 3561365487393 and 3561365487402.

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, 614979921 + ... + 614985711.

It is an arithmetic number, because the mean of its divisors is an integer number (21235730880).

Almost surely, 2^{3561365487456} is an apocalyptic number.

3561365487456 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 3561365487456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6115890493440).

3561365487456 is an abundant number, since it is smaller than the sum of its proper divisors (8670415499424).

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

3561365487456 is a wasteful number, since it uses less digits than its factorization.

3561365487456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6067 (or 6056 counting only the distinct ones).

The product of its digits is 217728000, while the sum is 63.

The spelling of 3561365487456 in words is "three trillion, five hundred sixty-one billion, three hundred sixty-five million, four hundred eighty-seven thousand, four hundred fifty-six".