1047741263136 has 192 divisors, whose sum is σ = 3236476642560. Its totient is φ = 328621363200.

The previous prime is 1047741263111. The next prime is 1047741263189. The reversal of 1047741263136 is 6313621477401.

1047741263136 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 7 + 4 + 1 + 2 + 631 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1047741263091 and 1047741263100.

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 31 ways as a sum of consecutive naturals, for example, 90340090 + ... + 90351686.

It is an arithmetic number, because the mean of its divisors is an integer number (16856649180).

Almost surely, 2^{1047741263136} is an apocalyptic number.

1047741263136 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 1047741263136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618238321280).

1047741263136 is an abundant number, since it is smaller than the sum of its proper divisors (2188735379424).

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

1047741263136 is a wasteful number, since it uses less digits than its factorization.

1047741263136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17784 (or 17770 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 1047741263136 in words is "one trillion, forty-seven billion, seven hundred forty-one million, two hundred sixty-three thousand, one hundred thirty-six".