1046147046048 has 288 divisors, whose sum is σ = 3357784160640. Its totient is φ = 306545817600.

The previous prime is 1046147046037. The next prime is 1046147046073. The reversal of 1046147046048 is 8406407416401.

1046147046048 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 147 + 0 + 460 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 1046147045994 and 1046147046012.

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 47 ways as a sum of consecutive naturals, for example, 19693123 + ... + 19746173.

It is an arithmetic number, because the mean of its divisors is an integer number (11658972780).

Almost surely, 2^{1046147046048} is an apocalyptic number.

1046147046048 is a gapful number since it is divisible by the number (18) 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 1046147046048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678892080320).

1046147046048 is an abundant number, since it is smaller than the sum of its proper divisors (2311637114592).

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

1046147046048 is a wasteful number, since it uses less digits than its factorization.

1046147046048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53332 (or 53321 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 1046147046048 in words is "one trillion, forty-six billion, one hundred forty-seven million, forty-six thousand, forty-eight".