1004951921064 has 64 divisors (see below), whose sum is σ = 3092159763840. Its totient is φ = 265042264320.

The previous prime is 1004951921033. The next prime is 1004951921089. The reversal of 1004951921064 is 4601291594001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230069227 + ... + 230073594.

It is an arithmetic number, because the mean of its divisors is an integer number (48314996310).

Almost surely, 2^{1004951921064} is an apocalyptic number.

1004951921064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1004951921064 is an abundant number, since it is smaller than the sum of its proper divisors (2087207842776).

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

1004951921064 is a wasteful number, since it uses less digits than its factorization.

1004951921064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460142850 (or 460142846 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 1004951921064 in words is "one trillion, four billion, nine hundred fifty-one million, nine hundred twenty-one thousand, sixty-four".