245624155248000 has 256 divisors, whose sum is σ = 815138011284480. Its totient is φ = 65427864320000.

The previous prime is 245624155247981. The next prime is 245624155248049. The reversal of 245624155248000 is 842551426542.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 40919455 + ... + 46536545.

It is an arithmetic number, because the mean of its divisors is an integer number (3184132856580).

Almost surely, 2^{245624155248000} is an apocalyptic number.

245624155248000 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 245624155248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407569005642240).

245624155248000 is an abundant number, since it is smaller than the sum of its proper divisors (569513856036480).

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

245624155248000 is an equidigital number, since it uses as much as digits as its factorization.

245624155248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5618034 (or 5618012 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 48.

The spelling of 245624155248000 in words is "two hundred forty-five trillion, six hundred twenty-four billion, one hundred fifty-five million, two hundred forty-eight thousand".