245363527552000 has 704 divisors, whose sum is σ = 727228865301120. Its totient is φ = 81433853952000.

The previous prime is 245363527551991. The next prime is 245363527552007. The reversal of 245363527552000 is 255725363542.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×245363527552000² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (245363527552007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1628980692 + ... + 1629131308.

Almost surely, 2^{245363527552000} is an apocalyptic number.

245363527552000 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 245363527552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363614432650560).

245363527552000 is an abundant number, since it is smaller than the sum of its proper divisors (481865337749120).

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

245363527552000 is a wasteful number, since it uses less digits than its factorization.

245363527552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150765 (or 150737 counting only the distinct ones).

The product of its (nonzero) digits is 7560000, while the sum is 49.

The spelling of 245363527552000 in words is "two hundred forty-five trillion, three hundred sixty-three billion, five hundred twenty-seven million, five hundred fifty-two thousand".