245693600385120 has 72 divisors (see below), whose sum is σ = 838429411319136. Its totient is φ = 65518293435648.

The previous prime is 245693600385091. The next prime is 245693600385133. The reversal of 245693600385120 is 21583006396542.

It is a happy number.

245693600385120 is a `hidden beast` number, since 2 + 4 + 5 + 6 + 9 + 3 + 600 + 3 + 8 + 5 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×245693600385120² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85310276472 + ... + 85310279351.

It is an arithmetic number, because the mean of its divisors is an integer number (11644852934988).

Almost surely, 2^{245693600385120} is an apocalyptic number.

245693600385120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245693600385120 is an abundant number, since it is smaller than the sum of its proper divisors (592735810934016).

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

245693600385120 is a wasteful number, since it uses less digits than its factorization.

245693600385120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170620555844 (or 170620555833 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 245693600385120 in words is "two hundred forty-five trillion, six hundred ninety-three billion, six hundred million, three hundred eighty-five thousand, one hundred twenty".