245125440000 has 1500 divisors, whose sum is σ = 1069026875334. Its totient is φ = 55738368000.

The previous prime is 245125439983. The next prime is 245125440017. The reversal of 245125440000 is 44521542.

245125440000 is a `hidden beast` number, since 2 + 4 + 5 + 1 + 254 + 400 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (245125439983) and next prime (245125440017).

It can be written as a sum of positive squares in 5 ways, for example, as 171714816 + 244953725184 = 13104^2 + 494928^2 .

It is a tau number, because it is divible by the number of its divisors (1500).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 1270079904 + ... + 1270080096.

Almost surely, 2^245125440000 is an apocalyptic number.

245125440000 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 245125440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534513437667).

245125440000 is an abundant number, since it is smaller than the sum of its proper divisors (823901435334).

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

245125440000 is an frugal number, since it uses more digits than its factorization.

245125440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 245125440000 its reverse (44521542), we get a palindrome (245169961542).

The spelling of 245125440000 in words is "two hundred forty-five billion, one hundred twenty-five million, four hundred forty thousand".