245378557036800 has 1296 divisors, whose sum is σ = 967830865485120. Its totient is φ = 58816954368000.

The previous prime is 245378557036771. The next prime is 245378557036817. The reversal of 245378557036800 is 8630755873542.

245378557036800 is a `hidden beast` number, since 2 + 4 + 5 + 3 + 78 + 557 + 0 + 3 + 6 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×245378557036800² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38575465620 + ... + 38575471980.

It is an arithmetic number, because the mean of its divisors is an integer number (746783075220).

Almost surely, 2^{245378557036800} is an apocalyptic number.

245378557036800 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 245378557036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483915432742560).

245378557036800 is an abundant number, since it is smaller than the sum of its proper divisors (722452308448320).

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

245378557036800 is a wasteful number, since it uses less digits than its factorization.

245378557036800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7080 (or 7058 counting only the distinct ones).

The product of its (nonzero) digits is 169344000, while the sum is 63.

The spelling of 245378557036800 in words is "two hundred forty-five trillion, three hundred seventy-eight billion, five hundred fifty-seven million, thirty-six thousand, eight hundred".