3145548447360 has 1152 divisors, whose sum is σ = 13002522624000. Its totient is φ = 697426329600.

The previous prime is 3145548447191. The next prime is 3145548447427. The reversal of 3145548447360 is 637448455413.

3145548447360 is a `hidden beast` number, since 3 + 1 + 4 + 554 + 84 + 4 + 7 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 3145548447297 and 3145548447306.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 384020865 + ... + 384029055.

It is an arithmetic number, because the mean of its divisors is an integer number (11286912000).

Almost surely, 2^{3145548447360} is an apocalyptic number.

3145548447360 is a gapful number since it is divisible by the number (30) 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 3145548447360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6501261312000).

3145548447360 is an abundant number, since it is smaller than the sum of its proper divisors (9856974176640).

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

3145548447360 is a wasteful number, since it uses less digits than its factorization.

3145548447360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8286 (or 8260 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 3145548447360 in words is "three trillion, one hundred forty-five billion, five hundred forty-eight million, four hundred forty-seven thousand, three hundred sixty".