245681356800 has 552 divisors, whose sum is σ = 898721799552. Its totient is φ = 58720256000.

The previous prime is 245681356799. The next prime is 245681356807. The reversal of 245681356800 is 8653186542.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 245681356800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245681356807) 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, 3460300765 + ... + 3460300835.

Almost surely, 2^245681356800 is an apocalyptic number.

245681356800 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 245681356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449360899776).

245681356800 is an abundant number, since it is smaller than the sum of its proper divisors (653040442752).

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

245681356800 is an frugal number, since it uses more digits than its factorization.

245681356800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 245681356800 in words is "two hundred forty-five billion, six hundred eighty-one million, three hundred fifty-six thousand, eight hundred".