1146206635240 has 128 divisors (see below), whose sum is σ = 2787463964160. Its totient is φ = 422612619264.

The previous prime is 1146206635213. The next prime is 1146206635241. The reversal of 1146206635240 is 425366026411.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1146206635193 and 1146206635202.

It is not an unprimeable number, because it can be changed into a prime (1146206635241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7809169 + ... + 7954591.

It is an arithmetic number, because the mean of its divisors is an integer number (21777062220).

Almost surely, 2^{1146206635240} is an apocalyptic number.

1146206635240 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 1146206635240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393731982080).

1146206635240 is an abundant number, since it is smaller than the sum of its proper divisors (1641257328920).

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

1146206635240 is a wasteful number, since it uses less digits than its factorization.

1146206635240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145691 (or 145687 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 1146206635240 in words is "one trillion, one hundred forty-six billion, two hundred six million, six hundred thirty-five thousand, two hundred forty".