245263761600 has 336 divisors, whose sum is σ = 945348660480. Its totient is φ = 54884044800.

The previous prime is 245263761599. The next prime is 245263761601. The reversal of 245263761600 is 6167362542.

It is an interprime number because it is at equal distance from previous prime (245263761599) and next prime (245263761601).

It is not an unprimeable number, because it can be changed into a prime (245263761601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 507741 + ... + 865059.

It is an arithmetic number, because the mean of its divisors is an integer number (2813537680).

Almost surely, 2^245263761600 is an apocalyptic number.

245263761600 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 245263761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472674330240).

245263761600 is an abundant number, since it is smaller than the sum of its proper divisors (700084898880).

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

245263761600 is a wasteful number, since it uses less digits than its factorization.

245263761600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357368 (or 357353 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 245263761600 in words is "two hundred forty-five billion, two hundred sixty-three million, seven hundred sixty-one thousand, six hundred".