245863329264 has 480 divisors, whose sum is σ = 853716025344. Its totient is φ = 66974688000.

The previous prime is 245863329263. The next prime is 245863329317. The reversal of 245863329264 is 462923368542.

245863329264 is a `hidden beast` number, since 2 + 4 + 58 + 6 + 3 + 329 + 264 = 666.

245863329264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 245863329264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245863329263) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 327380889 + ... + 327381639.

Almost surely, 2^245863329264 is an apocalyptic number.

245863329264 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 245863329264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426858012672).

245863329264 is an abundant number, since it is smaller than the sum of its proper divisors (607852696080).

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

245863329264 is a wasteful number, since it uses less digits than its factorization.

245863329264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1309 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The spelling of 245863329264 in words is "two hundred forty-five billion, eight hundred sixty-three million, three hundred twenty-nine thousand, two hundred sixty-four".