5466244331520 has 2304 divisors, whose sum is σ = 24040074240000. Its totient is φ = 1163530469376.

The previous prime is 5466244331503. The next prime is 5466244331521. The reversal of 5466244331520 is 251334426645.

5466244331520 is a `hidden beast` number, since 5 + 4 + 6 + 62 + 4 + 433 + 152 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5466244331521) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27468564381 + ... + 27468564579.

It is an arithmetic number, because the mean of its divisors is an integer number (10434060000).

Almost surely, 2^{5466244331520} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5466244331520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12020037120000).

5466244331520 is an abundant number, since it is smaller than the sum of its proper divisors (18573829908480).

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

5466244331520 is a wasteful number, since it uses less digits than its factorization.

5466244331520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 5466244331520 in words is "five trillion, four hundred sixty-six billion, two hundred forty-four million, three hundred thirty-one thousand, five hundred twenty".