245864989440 has 576 divisors, whose sum is σ = 1009509688320. Its totient is φ = 56193232896.

The previous prime is 245864989411. The next prime is 245864989459. The reversal of 245864989440 is 44989468542.

245864989440 is a `hidden beast` number, since 2 + 4 + 58 + 6 + 498 + 94 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19589247 + ... + 19601793.

Almost surely, 2^245864989440 is an apocalyptic number.

245864989440 is a gapful number since it is divisible by the number (20) 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 245864989440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504754844160).

245864989440 is an abundant number, since it is smaller than the sum of its proper divisors (763644698880).

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

245864989440 is an frugal number, since it uses more digits than its factorization.

245864989440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12596 (or 12564 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 245864989440 in words is "two hundred forty-five billion, eight hundred sixty-four million, nine hundred eighty-nine thousand, four hundred forty".