245887841828640 has 3072 divisors, whose sum is σ = 969901112033280. Its totient is φ = 51804555264000.

The previous prime is 245887841828627. The next prime is 245887841828653. The reversal of 245887841828640 is 46828148788542.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (245887841828627) and next prime (245887841828653).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 3463209039805 + ... + 3463209039875.

It is an arithmetic number, because the mean of its divisors is an integer number (315723018240).

Almost surely, 2^{245887841828640} is an apocalyptic number.

245887841828640 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 245887841828640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484950556016640).

245887841828640 is an abundant number, since it is smaller than the sum of its proper divisors (724013270204640).

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

245887841828640 is a wasteful number, since it uses less digits than its factorization.

245887841828640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 1761607680, while the sum is 75.

The spelling of 245887841828640 in words is "two hundred forty-five trillion, eight hundred eighty-seven billion, eight hundred forty-one million, eight hundred twenty-eight thousand, six hundred forty".