1245856905216 has 1152 divisors, whose sum is σ = 4827639398400. Its totient is φ = 299739709440.

The previous prime is 1245856905203. The next prime is 1245856905269. The reversal of 1245856905216 is 6125096585421.

1245856905216 is a `hidden beast` number, since 1 + 2 + 4 + 58 + 5 + 69 + 0 + 521 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1267402261 + ... + 1267403243.

It is an arithmetic number, because the mean of its divisors is an integer number (4190659200).

Almost surely, 2^{1245856905216} is an apocalyptic number.

1245856905216 is a gapful number since it is divisible by the number (16) 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 1245856905216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413819699200).

1245856905216 is an abundant number, since it is smaller than the sum of its proper divisors (3581782493184).

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

1245856905216 is a wasteful number, since it uses less digits than its factorization.

1245856905216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 1245856905216 in words is "one trillion, two hundred forty-five billion, eight hundred fifty-six million, nine hundred five thousand, two hundred sixteen".