245643736968 has 384 divisors, whose sum is σ = 808380518400. Its totient is φ = 68435767296.

The previous prime is 245643736939. The next prime is 245643736969. The reversal of 245643736968 is 869637346542.

245643736968 is a `hidden beast` number, since 2 + 4 + 564 + 3 + 7 + 3 + 6 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (245643736969) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89226280 + ... + 89229032.

It is an arithmetic number, because the mean of its divisors is an integer number (2105157600).

Almost surely, 2^245643736968 is an apocalyptic number.

245643736968 is a gapful number since it is divisible by the number (28) 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 245643736968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404190259200).

245643736968 is an abundant number, since it is smaller than the sum of its proper divisors (562736781432).

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

245643736968 is a wasteful number, since it uses less digits than its factorization.

245643736968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2943 (or 2927 counting only the distinct ones).

The product of its digits is 156764160, while the sum is 63.

The spelling of 245643736968 in words is "two hundred forty-five billion, six hundred forty-three million, seven hundred thirty-six thousand, nine hundred sixty-eight".