245957074944 has 448 divisors, whose sum is σ = 815436170496. Its totient is φ = 64323846144.

The previous prime is 245957074873. The next prime is 245957074949. The reversal of 245957074944 is 449470759542.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (245957074949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108206992 + ... + 108209264.

Almost surely, 2^245957074944 is an apocalyptic number.

245957074944 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 245957074944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407718085248).

245957074944 is an abundant number, since it is smaller than the sum of its proper divisors (569479095552).

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

245957074944 is a wasteful number, since it uses less digits than its factorization.

245957074944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2363 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 60.

The spelling of 245957074944 in words is "two hundred forty-five billion, nine hundred fifty-seven million, seventy-four thousand, nine hundred forty-four".