1146287682540 has 864 divisors, whose sum is σ = 4927440301056. Its totient is φ = 208283581440.

The previous prime is 1146287682503. The next prime is 1146287682571. The reversal of 1146287682540 is 452867826411.

1146287682540 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 28 + 76 + 8 + 2 + 540 = 666.

It is a super-2 number, since 2×1146287682540² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 65036169 + ... + 65053791.

It is an arithmetic number, because the mean of its divisors is an integer number (5703055904).

Almost surely, 2^{1146287682540} is an apocalyptic number.

1146287682540 is a gapful number since it is divisible by the number (10) 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 1146287682540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2463720150528).

1146287682540 is an abundant number, since it is smaller than the sum of its proper divisors (3781152618516).

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

1146287682540 is a wasteful number, since it uses less digits than its factorization.

1146287682540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17707 (or 17683 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 1146287682540 in words is "one trillion, one hundred forty-six billion, two hundred eighty-seven million, six hundred eighty-two thousand, five hundred forty".