245693918400 has 672 divisors, whose sum is σ = 952439040000. Its totient is φ = 55418388480.

The previous prime is 245693918387. The next prime is 245693918411. The reversal of 245693918400 is 4819396542.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 130064656 + ... + 130066544.

It is an arithmetic number, because the mean of its divisors is an integer number (1417320000).

Almost surely, 2^245693918400 is an apocalyptic number.

245693918400 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 245693918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476219520000).

245693918400 is an abundant number, since it is smaller than the sum of its proper divisors (706745121600).

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

245693918400 is a wasteful number, since it uses less digits than its factorization.

245693918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 245693918400 in words is "two hundred forty-five billion, six hundred ninety-three million, nine hundred eighteen thousand, four hundred".