245178646944 has 288 divisors, whose sum is σ = 820162107072. Its totient is φ = 63415296000.

The previous prime is 245178646931. The next prime is 245178647011. The reversal of 245178646944 is 449646871542.

It is a super-2 number, since 2×245178646944² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12460474 + ... + 12480134.

It is an arithmetic number, because the mean of its divisors is an integer number (2847785094).

Almost surely, 2^245178646944 is an apocalyptic number.

245178646944 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 245178646944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410081053536).

245178646944 is an abundant number, since it is smaller than the sum of its proper divisors (574983460128).

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

245178646944 is a wasteful number, since it uses less digits than its factorization.

245178646944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19940 (or 19925 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 60.

It can be divided in two parts, 2451786 and 46944, that added together give a triangular number (2498730 = T₂₂₃₅).

The spelling of 245178646944 in words is "two hundred forty-five billion, one hundred seventy-eight million, six hundred forty-six thousand, nine hundred forty-four".