5445468000000 has 1890 divisors, whose sum is σ = 23679037685688. Its totient is φ = 1244678400000.

The previous prime is 5445467999987. The next prime is 5445468000001. The reversal of 5445468000000 is 8645445.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

5445468000000 is a `hidden beast` number, since 544 + 54 + 68 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1890).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5445468000001) by changing a digit.

It is a polite number, since it can be written in 209 ways as a sum of consecutive naturals, for example, 777923999997 + ... + 777924000003.

Almost surely, 2^{5445468000000} is an apocalyptic number.

5445468000000 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 5445468000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11839518842844).

5445468000000 is an abundant number, since it is smaller than the sum of its proper divisors (18233569685688).

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

5445468000000 is an frugal number, since it uses more digits than its factorization.

5445468000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 5445468000000 in words is "five trillion, four hundred forty-five billion, four hundred sixty-eight million", and thus it is an aban number.