245933166960 has 360 divisors, whose sum is σ = 946961939664. Its totient is φ = 56975892480.

The previous prime is 245933166959. The next prime is 245933166971. The reversal of 245933166960 is 69661339542.

245933166960 is a `hidden beast` number, since 245 + 9 + 331 + 6 + 6 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×245933166960² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 245933166897 and 245933166906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2009115 + ... + 2128005.

Almost surely, 2^245933166960 is an apocalyptic number.

245933166960 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 245933166960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473480969832).

245933166960 is an abundant number, since it is smaller than the sum of its proper divisors (701028772704).

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

245933166960 is a wasteful number, since it uses less digits than its factorization.

245933166960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118953 (or 118931 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 245933166960 in words is "two hundred forty-five billion, nine hundred thirty-three million, one hundred sixty-six thousand, nine hundred sixty".