245805769440 has 864 divisors, whose sum is σ = 1109277711360. Its totient is φ = 48383723520.

The previous prime is 245805769403. The next prime is 245805769477. The reversal of 245805769440 is 44967508542.

245805769440 is a `hidden beast` number, since 2 + 4 + 580 + 57 + 6 + 9 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (245805769403) and next prime (245805769477).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23168617 + ... + 23179223.

It is an arithmetic number, because the mean of its divisors is an integer number (1283886240).

Almost surely, 2^245805769440 is an apocalyptic number.

245805769440 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 245805769440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554638855680).

245805769440 is an abundant number, since it is smaller than the sum of its proper divisors (863471941920).

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

245805769440 is a wasteful number, since it uses less digits than its factorization.

245805769440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10676 (or 10654 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 245805769440 in words is "two hundred forty-five billion, eight hundred five million, seven hundred sixty-nine thousand, four hundred forty".