245456842752 has 832 divisors, whose sum is σ = 835654993920. Its totient is φ = 71424737280.

The previous prime is 245456842733. The next prime is 245456842759. The reversal of 245456842752 is 257248654542.

245456842752 is a `hidden beast` number, since 2 + 4 + 5 + 4 + 568 + 4 + 2 + 75 + 2 = 666.

It is a super-3 number, since 3×245456842752³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (245456842759) 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, 4631261158 + ... + 4631261210.

Almost surely, 2^245456842752 is an apocalyptic number.

245456842752 is a gapful number since it is divisible by the number (22) 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 245456842752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417827496960).

245456842752 is an abundant number, since it is smaller than the sum of its proper divisors (590198151168).

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

245456842752 is an frugal number, since it uses more digits than its factorization.

245456842752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 116 counting only the distinct ones).

The product of its digits is 21504000, while the sum is 54.

The spelling of 245456842752 in words is "two hundred forty-five billion, four hundred fifty-six million, eight hundred forty-two thousand, seven hundred fifty-two".