5646060451200 has 384 divisors, whose sum is σ = 20047757173920. Its totient is φ = 1388374917120.

The previous prime is 5646060451147. The next prime is 5646060451211. The reversal of 5646060451200 is 21540606465.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124402912 + ... + 124448288.

Almost surely, 2^{5646060451200} is an apocalyptic number.

5646060451200 is a gapful number since it is divisible by the number (50) 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 5646060451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10023878586960).

5646060451200 is an abundant number, since it is smaller than the sum of its proper divisors (14401696722720).

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

5646060451200 is a wasteful number, since it uses less digits than its factorization.

5646060451200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46414 (or 46397 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 5646060451200 in words is "five trillion, six hundred forty-six billion, sixty million, four hundred fifty-one thousand, two hundred".