1245916473984 has 1728 divisors, whose sum is σ = 4974322003560. Its totient is φ = 307006930944.

The previous prime is 1245916473979. The next prime is 1245916474009. The reversal of 1245916473984 is 4893746195421.

1245916473984 is a `hidden beast` number, since 1 + 2 + 4 + 591 + 6 + 4 + 7 + 39 + 8 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1060224427584 + 185692046400 = 1029672^2 + 430920^2 .

It is a tau number, because it is divible by the number of its divisors (1728).

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 215 ways as a sum of consecutive naturals, for example, 9094280764 + ... + 9094280900.

Almost surely, 2^{1245916473984} is an apocalyptic number.

1245916473984 is a gapful number since it is divisible by the number (14) 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 1245916473984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487161001780).

1245916473984 is an abundant number, since it is smaller than the sum of its proper divisors (3728405529576).

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

1245916473984 is an equidigital number, since it uses as much as digits as its factorization.

1245916473984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 179 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 1245916473984 in words is "one trillion, two hundred forty-five billion, nine hundred sixteen million, four hundred seventy-three thousand, nine hundred eighty-four".