3061496148480 has 1280 divisors, whose sum is σ = 13645098086400. Its totient is φ = 632073093120.

The previous prime is 3061496148479. The next prime is 3061496148499. The reversal of 3061496148480 is 848416941603.

3061496148480 is a `hidden beast` number, since 3 + 0 + 6 + 1 + 496 + 148 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 867523356 + ... + 867526884.

It is an arithmetic number, because the mean of its divisors is an integer number (10660232880).

Almost surely, 2^{3061496148480} is an apocalyptic number.

3061496148480 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 3061496148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6822549043200).

3061496148480 is an abundant number, since it is smaller than the sum of its proper divisors (10583601937920).

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

3061496148480 is a wasteful number, since it uses less digits than its factorization.

3061496148480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3742 (or 3720 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 3061496148480 in words is "three trillion, sixty-one billion, four hundred ninety-six million, one hundred forty-eight thousand, four hundred eighty".