245939494320 has 960 divisors, whose sum is σ = 956113804800. Its totient is φ = 58032599040.

The previous prime is 245939494303. The next prime is 245939494327. The reversal of 245939494320 is 23494939542.

245939494320 is a `hidden beast` number, since 2 + 4 + 593 + 9 + 4 + 9 + 43 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (245939494327) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1769348811 + ... + 1769348949.

It is an arithmetic number, because the mean of its divisors is an integer number (995951880).

Almost surely, 2^245939494320 is an apocalyptic number.

245939494320 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 245939494320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478056902400).

245939494320 is an abundant number, since it is smaller than the sum of its proper divisors (710174310480).

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

245939494320 is a wasteful number, since it uses less digits than its factorization.

245939494320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 245939494320 in words is "two hundred forty-five billion, nine hundred thirty-nine million, four hundred ninety-four thousand, three hundred twenty".