245140736000 has 384 divisors, whose sum is σ = 651596400000. Its totient is φ = 91791360000.

The previous prime is 245140735993. The next prime is 245140736017. The reversal of 245140736000 is 637041542.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 491263751 + ... + 491264249.

It is an arithmetic number, because the mean of its divisors is an integer number (1696865625).

Almost surely, 2^245140736000 is an apocalyptic number.

245140736000 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 245140736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325798200000).

245140736000 is an abundant number, since it is smaller than the sum of its proper divisors (406455664000).

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

245140736000 is a wasteful number, since it uses less digits than its factorization.

245140736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

Adding to 245140736000 its reverse (637041542), we get a palindrome (245777777542).

The spelling of 245140736000 in words is "two hundred forty-five billion, one hundred forty million, seven hundred thirty-six thousand".