425355918188544 has 2688 divisors, whose sum is σ = 1619888695476480. Its totient is φ = 109505232764928.

The previous prime is 425355918188543. The next prime is 425355918188569. The reversal of 425355918188544 is 445881819553524.

425355918188544 is a `hidden beast` number, since 4 + 2 + 5 + 3 + 5 + 59 + 18 + 18 + 8 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (425355918188543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 419897253382 + ... + 419897254394.

Almost surely, 2^{425355918188544} 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 425355918188544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809944347738240).

425355918188544 is an abundant number, since it is smaller than the sum of its proper divisors (1194532777287936).

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

425355918188544 is a wasteful number, since it uses less digits than its factorization.

425355918188544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1138 counting only the distinct ones).

The product of its digits is 1105920000, while the sum is 72.

The spelling of 425355918188544 in words is "four hundred twenty-five trillion, three hundred fifty-five billion, nine hundred eighteen million, one hundred eighty-eight thousand, five hundred forty-four".