245946136407072 has 384 divisors, whose sum is σ = 675113215795200. Its totient is φ = 78391901168640.

The previous prime is 245946136407043. The next prime is 245946136407091. The reversal of 245946136407072 is 270704631649542.

It is a super-2 number, since 2×245946136407072² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 245946136406997 and 245946136407015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 155760693579 + ... + 155760695157.

It is an arithmetic number, because the mean of its divisors is an integer number (1758107332800).

Almost surely, 2^{245946136407072} 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 245946136407072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337556607897600).

245946136407072 is an abundant number, since it is smaller than the sum of its proper divisors (429167079388128).

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

245946136407072 is a wasteful number, since it uses less digits than its factorization.

245946136407072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2301 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 60.

The spelling of 245946136407072 in words is "two hundred forty-five trillion, nine hundred forty-six billion, one hundred thirty-six million, four hundred seven thousand, seventy-two".