3563407291248 has 240 divisors, whose sum is σ = 11985843856896. Its totient is φ = 1003776157440.

The previous prime is 3563407291163. The next prime is 3563407291313. The reversal of 3563407291248 is 8421927043653.

3563407291248 is a `hidden beast` number, since 3 + 5 + 6 + 340 + 7 + 291 + 2 + 4 + 8 = 666.

3563407291248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 3563407291194 and 3563407291203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1010290 + ... + 2854382.

It is a 1-persistent number, because it is pandigital, but 2⋅3563407291248 = 7126814582496 is not.

Almost surely, 2^{3563407291248} 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 3563407291248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5992921928448).

3563407291248 is an abundant number, since it is smaller than the sum of its proper divisors (8422436565648).

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

3563407291248 is a wasteful number, since it uses less digits than its factorization.

3563407291248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844194 (or 1844176 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 3563407291248 in words is "three trillion, five hundred sixty-three billion, four hundred seven million, two hundred ninety-one thousand, two hundred forty-eight".