245540624736000 has 1152 divisors, whose sum is σ = 914971829990400. Its totient is φ = 57857310720000.

The previous prime is 245540624735983. The next prime is 245540624736013. The reversal of 245540624736000 is 637426045542.

It is a happy number.

245540624736000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 5545033860 + ... + 5545078140.

It is an arithmetic number, because the mean of its divisors is an integer number (794246380200).

Almost surely, 2^{245540624736000} is an apocalyptic number.

245540624736000 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 245540624736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457485914995200).

245540624736000 is an abundant number, since it is smaller than the sum of its proper divisors (669431205254400).

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

245540624736000 is a wasteful number, since it uses less digits than its factorization.

245540624736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44474 (or 44450 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 48.

The spelling of 245540624736000 in words is "two hundred forty-five trillion, five hundred forty billion, six hundred twenty-four million, seven hundred thirty-six thousand".