245151088128 has 240 divisors, whose sum is σ = 730450234800. Its totient is φ = 79103066112.

The previous prime is 245151088123. The next prime is 245151088129. The reversal of 245151088128 is 821880151542.

245151088128 is a `hidden beast` number, since 2 + 4 + 5 + 1 + 510 + 8 + 8 + 128 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245151088123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22384798 + ... + 22395746.

It is an arithmetic number, because the mean of its divisors is an integer number (3043542645).

Almost surely, 2^245151088128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245151088128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365225117400).

245151088128 is an abundant number, since it is smaller than the sum of its proper divisors (485299146672).

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

245151088128 is a wasteful number, since it uses less digits than its factorization.

245151088128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11129 (or 11110 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 45.

The spelling of 245151088128 in words is "two hundred forty-five billion, one hundred fifty-one million, eighty-eight thousand, one hundred twenty-eight".