534445656145920 has 2560 divisors, whose sum is σ = 2041575109263360. Its totient is φ = 133558047866880.

The previous prime is 534445656145901. The next prime is 534445656145931. The reversal of 534445656145920 is 29541656544435.

It is a happy number.

534445656145920 is a `hidden beast` number, since 5 + 3 + 4 + 4 + 4 + 5 + 6 + 5 + 614 + 5 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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 159 ways as a sum of consecutive naturals, for example, 2769148477344 + ... + 2769148477536.

It is an arithmetic number, because the mean of its divisors is an integer number (797490277056).

Almost surely, 2^{534445656145920} 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 534445656145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020787554631680).

534445656145920 is an abundant number, since it is smaller than the sum of its proper divisors (1507129453117440).

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

534445656145920 is a wasteful number, since it uses less digits than its factorization.

534445656145920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 311040000, while the sum is 63.

The spelling of 534445656145920 in words is "five hundred thirty-four trillion, four hundred forty-five billion, six hundred fifty-six million, one hundred forty-five thousand, nine hundred twenty".