1047854648736 has 288 divisors, whose sum is σ = 3434406288768. Its totient is φ = 296859064320.

The previous prime is 1047854648719. The next prime is 1047854648747. The reversal of 1047854648736 is 6378464587401.

1047854648736 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 8 + 546 + 4 + 87 + 3 + 6 = 666.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117824706 + ... + 117833598.

It is an arithmetic number, because the mean of its divisors is an integer number (11925021836).

Almost surely, 2^{1047854648736} is an apocalyptic number.

1047854648736 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 1047854648736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717203144384).

1047854648736 is an abundant number, since it is smaller than the sum of its proper divisors (2386551640032).

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

1047854648736 is a wasteful number, since it uses less digits than its factorization.

1047854648736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9404 (or 9393 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 1047854648736 in words is "one trillion, forty-seven billion, eight hundred fifty-four million, six hundred forty-eight thousand, seven hundred thirty-six".