1205249845968 has 1200 divisors, whose sum is σ = 4393107823104. Its totient is φ = 317290659840.

The previous prime is 1205249845951. The next prime is 1205249845981. The reversal of 1205249845968 is 8695489425021.

1205249845968 is a `hidden beast` number, since 1 + 2 + 0 + 52 + 498 + 4 + 5 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6658838838 + ... + 6658839018.

Almost surely, 2^{1205249845968} is an apocalyptic number.

1205249845968 is a gapful number since it is divisible by the number (18) 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 1205249845968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2196553911552).

1205249845968 is an abundant number, since it is smaller than the sum of its proper divisors (3187857977136).

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

1205249845968 is a wasteful number, since it uses less digits than its factorization.

1205249845968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 1205249845968 in words is "one trillion, two hundred five billion, two hundred forty-nine million, eight hundred forty-five thousand, nine hundred sixty-eight".