245506506300 has 216 divisors, whose sum is σ = 839975769360. Its totient is φ = 59481830400.

The previous prime is 245506506293. The next prime is 245506506361. The reversal of 245506506300 is 3605605542.

It is a happy number.

245506506300 is a `hidden beast` number, since 2 + 45 + 506 + 50 + 63 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19526416 + ... + 19538984.

It is an arithmetic number, because the mean of its divisors is an integer number (3888776710).

Almost surely, 2^245506506300 is an apocalyptic number.

245506506300 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 245506506300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419987884680).

245506506300 is an abundant number, since it is smaller than the sum of its proper divisors (594469263060).

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

245506506300 is a wasteful number, since it uses less digits than its factorization.

245506506300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14573 (or 14563 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 245506506300 in words is "two hundred forty-five billion, five hundred six million, five hundred six thousand, three hundred".