245869220640 has 192 divisors, whose sum is σ = 778936507776. Its totient is φ = 65189363712.

The previous prime is 245869220633. The next prime is 245869220659. The reversal of 245869220640 is 46022968542.

245869220640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 245869220640.

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 31 ways as a sum of consecutive naturals, for example, 158318104 + ... + 158319656.

It is an arithmetic number, because the mean of its divisors is an integer number (4056960978).

Almost surely, 2^245869220640 is an apocalyptic number.

245869220640 is a gapful number since it is divisible by the number (20) 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 245869220640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389468253888).

245869220640 is an abundant number, since it is smaller than the sum of its proper divisors (533067287136).

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

245869220640 is a wasteful number, since it uses less digits than its factorization.

245869220640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3251 (or 3243 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 245869220640 in words is "two hundred forty-five billion, eight hundred sixty-nine million, two hundred twenty thousand, six hundred forty".