3522486642048 has 640 divisors, whose sum is σ = 12130606224000. Its totient is φ = 1003439923200.

The previous prime is 3522486642019. The next prime is 3522486642071. The reversal of 3522486642048 is 8402466842253.

3522486642048 is a `hidden beast` number, since 352 + 2 + 4 + 86 + 6 + 4 + 204 + 8 = 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 = 3522486641985 and 3522486642003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 283859268 + ... + 283871676.

It is an arithmetic number, because the mean of its divisors is an integer number (18954072225).

Almost surely, 2^{3522486642048} is an apocalyptic number.

3522486642048 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 3522486642048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6065303112000).

3522486642048 is an abundant number, since it is smaller than the sum of its proper divisors (8608119581952).

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

3522486642048 is a wasteful number, since it uses less digits than its factorization.

3522486642048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12596 (or 12575 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 54.

The spelling of 3522486642048 in words is "three trillion, five hundred twenty-two billion, four hundred eighty-six million, six hundred forty-two thousand, forty-eight".