245341340640 has 480 divisors, whose sum is σ = 957907399680. Its totient is φ = 58636569600.

The previous prime is 245341340627. The next prime is 245341340681. The reversal of 245341340640 is 46043143542.

245341340640 is a `hidden beast` number, since 2 + 4 + 5 + 3 + 4 + 1 + 3 + 4 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 245341340595 and 245341340604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10109641 + ... + 10133879.

It is an arithmetic number, because the mean of its divisors is an integer number (1995640416).

Almost surely, 2^245341340640 is an apocalyptic number.

245341340640 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 245341340640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478953699840).

245341340640 is an abundant number, since it is smaller than the sum of its proper divisors (712566059040).

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

245341340640 is a wasteful number, since it uses less digits than its factorization.

245341340640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24348 (or 24331 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 245341340640 in words is "two hundred forty-five billion, three hundred forty-one million, three hundred forty thousand, six hundred forty".