1047854648160 has 144 divisors (see below), whose sum is σ = 3764004294960. Its totient is φ = 264721167360.

The previous prime is 1047854648149. The next prime is 1047854648167. The reversal of 1047854648160 is 618464587401.

1047854648160 is a `hidden beast` number, since 1 + 0 + 47 + 8 + 5 + 464 + 81 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-4 number, since 4×1047854648160⁴ (a number of 49 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1047854648097 and 1047854648106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1047854648167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19122031 + ... + 19176750.

It is an arithmetic number, because the mean of its divisors is an integer number (26138918715).

Almost surely, 2^{1047854648160} is an apocalyptic number.

1047854648160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1047854648160 is an abundant number, since it is smaller than the sum of its proper divisors (2716149646800).

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

1047854648160 is a wasteful number, since it uses less digits than its factorization.

1047854648160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38298821 (or 38298810 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 1047854648160 in words is "one trillion, forty-seven billion, eight hundred fifty-four million, six hundred forty-eight thousand, one hundred sixty".