4046892548160 has 2016 divisors, whose sum is σ = 18056646558720. Its totient is φ = 761548677120.

The previous prime is 4046892548159. The next prime is 4046892548197. The reversal of 4046892548160 is 618452986404.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 4046892548160.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2487333267 + ... + 2487334893.

It is an arithmetic number, because the mean of its divisors is an integer number (8956669920).

Almost surely, 2^{4046892548160} is an apocalyptic number.

4046892548160 is a gapful number since it is divisible by the number (40) 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 4046892548160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9028323279360).

4046892548160 is an abundant number, since it is smaller than the sum of its proper divisors (14009754010560).

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

4046892548160 is a wasteful number, since it uses less digits than its factorization.

4046892548160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 57.

The spelling of 4046892548160 in words is "four trillion, forty-six billion, eight hundred ninety-two million, five hundred forty-eight thousand, one hundred sixty".