1047308967936 has 1008 divisors, whose sum is σ = 3930317873664. Its totient is φ = 262766592000.

The previous prime is 1047308967923. The next prime is 1047308967997. The reversal of 1047308967936 is 6397698037401.

1047308967936 is a `hidden beast` number, since 1 + 0 + 473 + 0 + 8 + 96 + 79 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×1047308967936² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1935875826 + ... + 1935876366.

Almost surely, 2^{1047308967936} is an apocalyptic number.

1047308967936 is a gapful number since it is divisible by the number (16) 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 1047308967936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965158936832).

1047308967936 is an abundant number, since it is smaller than the sum of its proper divisors (2883008905728).

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

1047308967936 is a wasteful number, since it uses less digits than its factorization.

1047308967936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 1047308967936 in words is "one trillion, forty-seven billion, three hundred eight million, nine hundred sixty-seven thousand, nine hundred thirty-six".