245287732248000 has 1568 divisors, whose sum is σ = 989539314970752. Its totient is φ = 59842105344000.

The previous prime is 245287732247953. The next prime is 245287732248047. The reversal of 245287732248000 is 842237782542.

245287732248000 is a `hidden beast` number, since 2 + 4 + 52 + 87 + 7 + 32 + 2 + 480 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (245287732247953) and next prime (245287732248047).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 8567193685 + ... + 8567222315.

Almost surely, 2^{245287732248000} is an apocalyptic number.

245287732248000 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 245287732248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494769657485376).

245287732248000 is an abundant number, since it is smaller than the sum of its proper divisors (744251582722752).

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

245287732248000 is a wasteful number, since it uses less digits than its factorization.

245287732248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28802 (or 28767 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 54.

The spelling of 245287732248000 in words is "two hundred forty-five trillion, two hundred eighty-seven billion, seven hundred thirty-two million, two hundred forty-eight thousand".