1046305016064 has 1152 divisors, whose sum is σ = 4102808371200. Its totient is φ = 254794014720.

The previous prime is 1046305016063. The next prime is 1046305016069. The reversal of 1046305016064 is 4606105036401.

It is a happy number.

1046305016064 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 30 + 501 + 60 + 64 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1046305016063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1082010909 + ... + 1082011875.

It is an arithmetic number, because the mean of its divisors is an integer number (3561465600).

Almost surely, 2^{1046305016064} is an apocalyptic number.

1046305016064 is a gapful number since it is divisible by the number (14) 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 1046305016064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2051404185600).

1046305016064 is an abundant number, since it is smaller than the sum of its proper divisors (3056503355136).

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

1046305016064 is a wasteful number, since it uses less digits than its factorization.

1046305016064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 1046305016064 in words is "one trillion, forty-six billion, three hundred five million, sixteen thousand, sixty-four".