245263749120 has 1248 divisors, whose sum is σ = 1009806400512. Its totient is φ = 56566480896.

The previous prime is 245263749119. The next prime is 245263749179. The reversal of 245263749120 is 21947362542.

245263749120 is a `hidden beast` number, since 2 + 4 + 5 + 2 + 637 + 4 + 9 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1099837329 + ... + 1099837551.

It is an arithmetic number, because the mean of its divisors is an integer number (809139744).

Almost surely, 2^245263749120 is an apocalyptic number.

245263749120 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 245263749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504903200256).

245263749120 is an abundant number, since it is smaller than the sum of its proper divisors (764542651392).

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

245263749120 is a wasteful number, since it uses less digits than its factorization.

245263749120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 245263749120 in words is "two hundred forty-five billion, two hundred sixty-three million, seven hundred forty-nine thousand, one hundred twenty".