6046455911040 has 640 divisors, whose sum is σ = 22897774429200. Its totient is φ = 1515244879872.

The previous prime is 6046455911017. The next prime is 6046455911053. The reversal of 6046455911040 is 401195546406.

6046455911040 is a `hidden beast` number, since 6 + 0 + 4 + 6 + 4 + 5 + 591 + 10 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2808788291136 + 3237667619904 = 1675944^2 + 1799352^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 624822682 + ... + 624832358.

Almost surely, 2^{6046455911040} is an apocalyptic number.

6046455911040 is a gapful number since it is divisible by the number (60) 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 6046455911040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11448887214600).

6046455911040 is an abundant number, since it is smaller than the sum of its proper divisors (16851318518160).

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

6046455911040 is a wasteful number, since it uses less digits than its factorization.

6046455911040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10434 (or 10413 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 6046455911040 in words is "six trillion, forty-six billion, four hundred fifty-five million, nine hundred eleven thousand, forty".