6046453364400 has 600 divisors, whose sum is σ = 22874984369600. Its totient is φ = 1525343270400.

The previous prime is 6046453364363. The next prime is 6046453364407. The reversal of 6046453364400 is 44633546406.

6046453364400 is a `hidden beast` number, since 60 + 46 + 453 + 3 + 64 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is not an unprimeable number, because it can be changed into a prime (6046453364407) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 454921755 + ... + 454935045.

Almost surely, 2^{6046453364400} is an apocalyptic number.

6046453364400 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 6046453364400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11437492184800).

6046453364400 is an abundant number, since it is smaller than the sum of its proper divisors (16828531005200).

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

6046453364400 is a wasteful number, since it uses less digits than its factorization.

6046453364400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14079 (or 14059 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 45.

The spelling of 6046453364400 in words is "six trillion, forty-six billion, four hundred fifty-three million, three hundred sixty-four thousand, four hundred".