245867642398400 has 336 divisors, whose sum is σ = 676340388670848. Its totient is φ = 87197257728000.

The previous prime is 245867642398379. The next prime is 245867642398597. The reversal of 245867642398400 is 4893246768542.

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, 509085035 + ... + 509567765.

Almost surely, 2^{245867642398400} is an apocalyptic number.

245867642398400 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 245867642398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338170194335424).

245867642398400 is an abundant number, since it is smaller than the sum of its proper divisors (430472746272448).

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

245867642398400 is a wasteful number, since it uses less digits than its factorization.

245867642398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483480 (or 483465 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 68.

The spelling of 245867642398400 in words is "two hundred forty-five trillion, eight hundred sixty-seven billion, six hundred forty-two million, three hundred ninety-eight thousand, four hundred".