245623516512 has 96 divisors (see below), whose sum is σ = 703853950464. Its totient is φ = 74380838400.

The previous prime is 245623516511. The next prime is 245623516517. The reversal of 245623516512 is 215615326542.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×245623516512² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245623516511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1492062 + ... + 1648482.

It is an arithmetic number, because the mean of its divisors is an integer number (7331811984).

Almost surely, 2^245623516512 is an apocalyptic number.

245623516512 is a gapful number since it is divisible by the number (22) 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 245623516512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351926975232).

245623516512 is an abundant number, since it is smaller than the sum of its proper divisors (458230433952).

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

245623516512 is a wasteful number, since it uses less digits than its factorization.

245623516512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157932 (or 157924 counting only the distinct ones).

The product of its digits is 432000, while the sum is 42.

The spelling of 245623516512 in words is "two hundred forty-five billion, six hundred twenty-three million, five hundred sixteen thousand, five hundred twelve".