1146980319408 has 480 divisors, whose sum is σ = 4219282329600. Its totient is φ = 281792908800.

The previous prime is 1146980319383. The next prime is 1146980319421. The reversal of 1146980319408 is 8049130896411.

1146980319408 is a `hidden beast` number, since 1 + 146 + 9 + 80 + 3 + 19 + 408 = 666.

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, 145570413 + ... + 145578291.

It is an arithmetic number, because the mean of its divisors is an integer number (8790171520).

Almost surely, 2^{1146980319408} is an apocalyptic number.

1146980319408 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 1146980319408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2109641164800).

1146980319408 is an abundant number, since it is smaller than the sum of its proper divisors (3072302010192).

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

1146980319408 is a wasteful number, since it uses less digits than its factorization.

1146980319408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8621 (or 8612 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 1146980319408 in words is "one trillion, one hundred forty-six billion, nine hundred eighty million, three hundred nineteen thousand, four hundred eight".