245872281600 has 2304 divisors, whose sum is σ = 1111428864000. Its totient is φ = 52553318400.

The previous prime is 245872281583. The next prime is 245872281643. The reversal of 245872281600 is 6182278542.

245872281600 is a `hidden beast` number, since 2 + 4 + 587 + 2 + 2 + 8 + 1 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6645196782 + ... + 6645196818.

It is an arithmetic number, because the mean of its divisors is an integer number (482391000).

Almost surely, 2^245872281600 is an apocalyptic number.

245872281600 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 245872281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555714432000).

245872281600 is an abundant number, since it is smaller than the sum of its proper divisors (865556582400).

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

245872281600 is a wasteful number, since it uses less digits than its factorization.

245872281600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 245872281600 in words is "two hundred forty-five billion, eight hundred seventy-two million, two hundred eighty-one thousand, six hundred".