245146405464 has 192 divisors, whose sum is σ = 734324797440. Its totient is φ = 73487969280.

The previous prime is 245146405459. The next prime is 245146405591. The reversal of 245146405464 is 464504641542.

245146405464 is a `hidden beast` number, since 2 + 4 + 5 + 146 + 40 + 5 + 464 = 666.

245146405464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×245146405464² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30597219 + ... + 30605229.

It is an arithmetic number, because the mean of its divisors is an integer number (3824608320).

Almost surely, 2^245146405464 is an apocalyptic number.

245146405464 is a gapful number since it is divisible by the number (24) 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 245146405464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367162398720).

245146405464 is an abundant number, since it is smaller than the sum of its proper divisors (489178391976).

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

245146405464 is a wasteful number, since it uses less digits than its factorization.

245146405464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9150 (or 9143 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 245146405464 in words is "two hundred forty-five billion, one hundred forty-six million, four hundred five thousand, four hundred sixty-four".