245574120017664 has 288 divisors, whose sum is σ = 737439892761600. Its totient is φ = 80594889338880.

The previous prime is 245574120017663. The next prime is 245574120017669. The reversal of 245574120017664 is 466710021475542.

245574120017664 is a `hidden beast` number, since 2 + 4 + 5 + 57 + 412 + 0 + 0 + 176 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 245574120017664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245574120017663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 359379877 + ... + 360062555.

It is an arithmetic number, because the mean of its divisors is an integer number (2560555183200).

Almost surely, 2^{245574120017664} is an apocalyptic number.

245574120017664 is a gapful number since it is divisible by the number (24) 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 245574120017664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368719946380800).

245574120017664 is an abundant number, since it is smaller than the sum of its proper divisors (491865772743936).

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

245574120017664 is an equidigital number, since it uses as much as digits as its factorization.

245574120017664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683508 (or 683488 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 245574120017664 in words is "two hundred forty-five trillion, five hundred seventy-four billion, one hundred twenty million, seventeen thousand, six hundred sixty-four".