245879342146944 has 192 divisors, whose sum is σ = 772238692976400. Its totient is φ = 74472871587840.

The previous prime is 245879342146937. The next prime is 245879342146957. The reversal of 245879342146944 is 449641243978542.

245879342146944 is a `hidden beast` number, since 2 + 4 + 5 + 8 + 79 + 3 + 421 + 46 + 94 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×245879342146944² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 21529302 + ... + 30907434.

Almost surely, 2^{245879342146944} is an apocalyptic number.

245879342146944 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 245879342146944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386119346488200).

245879342146944 is an abundant number, since it is smaller than the sum of its proper divisors (526359350829456).

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

245879342146944 is a wasteful number, since it uses less digits than its factorization.

245879342146944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9380233 (or 9380218 counting only the distinct ones).

The product of its digits is 1672151040, while the sum is 72.

The spelling of 245879342146944 in words is "two hundred forty-five trillion, eight hundred seventy-nine billion, three hundred forty-two million, one hundred forty-six thousand, nine hundred forty-four".