1146625606242 has 192 divisors, whose sum is σ = 2830967193600. Its totient is φ = 346466989440.

The previous prime is 1146625606229. The next prime is 1146625606249. The reversal of 1146625606242 is 2426065266411.

1146625606242 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 62 + 560 + 6 + 24 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (1146625606249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25454103 + ... + 25499109.

It is an arithmetic number, because the mean of its divisors is an integer number (14744620800).

Almost surely, 2^{1146625606242} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1146625606242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415483596800).

1146625606242 is an abundant number, since it is smaller than the sum of its proper divisors (1684341587358).

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

1146625606242 is a wasteful number, since it uses less digits than its factorization.

1146625606242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45163 (or 45151 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 1146625606242 in words is "one trillion, one hundred forty-six billion, six hundred twenty-five million, six hundred six thousand, two hundred forty-two".