1145921315616 has 720 divisors, whose sum is σ = 4348270922688. Its totient is φ = 289576995840.

The previous prime is 1145921315573. The next prime is 1145921315633. The reversal of 1145921315616 is 6165131295411.

1145921315616 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 9 + 2 + 13 + 15 + 616 = 666.

It is a super-3 number, since 3×1145921315616³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 81223635 + ... + 81237741.

Almost surely, 2^{1145921315616} is an apocalyptic number.

1145921315616 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 1145921315616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174135461344).

1145921315616 is an abundant number, since it is smaller than the sum of its proper divisors (3202349607072).

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

1145921315616 is a wasteful number, since it uses less digits than its factorization.

1145921315616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14195 (or 14167 counting only the distinct ones).

The product of its digits is 194400, while the sum is 45.

The spelling of 1145921315616 in words is "one trillion, one hundred forty-five billion, nine hundred twenty-one million, three hundred fifteen thousand, six hundred sixteen".