245430531351360 has 896 divisors, whose sum is σ = 898701814886400. Its totient is φ = 62987182571520.

The previous prime is 245430531351353. The next prime is 245430531351371. The reversal of 245430531351360 is 63153135034542.

245430531351360 is a `hidden beast` number, since 2 + 4 + 5 + 4 + 3 + 0 + 531 + 3 + 51 + 3 + 60 = 666.

It is a super-2 number, since 2×245430531351360² (a number of 30 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 44166009702 + ... + 44166015258.

It is an arithmetic number, because the mean of its divisors is an integer number (1003015418400).

Almost surely, 2^{245430531351360} is an apocalyptic number.

245430531351360 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 245430531351360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449350907443200).

245430531351360 is an abundant number, since it is smaller than the sum of its proper divisors (653271283535040).

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

245430531351360 is a wasteful number, since it uses less digits than its factorization.

245430531351360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6496 (or 6480 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 45.

The spelling of 245430531351360 in words is "two hundred forty-five trillion, four hundred thirty billion, five hundred thirty-one million, three hundred fifty-one thousand, three hundred sixty".