245368590553408 has 168 divisors, whose sum is σ = 586373176857600. Its totient is φ = 101454804605952.

The previous prime is 245368590553403. The next prime is 245368590553441. The reversal of 245368590553408 is 804355095863542.

245368590553408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245368590553403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118932385 + ... + 120977887.

Almost surely, 2^{245368590553408} is an apocalyptic number.

245368590553408 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 245368590553408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293186588428800).

245368590553408 is an abundant number, since it is smaller than the sum of its proper divisors (341004586304192).

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

245368590553408 is a wasteful number, since it uses less digits than its factorization.

245368590553408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2046877 (or 2046860 counting only the distinct ones).

The product of its (nonzero) digits is 622080000, while the sum is 67.

The spelling of 245368590553408 in words is "two hundred forty-five trillion, three hundred sixty-eight billion, five hundred ninety million, five hundred fifty-three thousand, four hundred eight".