1054161667008 has 784 divisors, whose sum is σ = 3425278026240. Its totient is φ = 320509550592.

The previous prime is 1054161667007. The next prime is 1054161667049. The reversal of 1054161667008 is 8007661614501.

1054161667008 is a `hidden beast` number, since 1 + 0 + 5 + 416 + 166 + 70 + 0 + 8 = 666.

1054161667008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1054161667008³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054161667003) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4410718153 + ... + 4410718391.

Almost surely, 2^{1054161667008} is an apocalyptic number.

1054161667008 is a gapful number since it is divisible by the number (18) 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 1054161667008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712639013120).

1054161667008 is an abundant number, since it is smaller than the sum of its proper divisors (2371116359232).

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

1054161667008 is an equidigital number, since it uses as much as digits as its factorization.

1054161667008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 1054161667008 in words is "one trillion, fifty-four billion, one hundred sixty-one million, six hundred sixty-seven thousand, eight".