1142001292608 has 672 divisors, whose sum is σ = 3900751395840. Its totient is φ = 315549696000.

The previous prime is 1142001292603. The next prime is 1142001292609. The reversal of 1142001292608 is 8062921002411.

1142001292608 is a `hidden beast` number, since 1 + 1 + 4 + 20 + 0 + 1 + 29 + 2 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142001292603) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 451204303 + ... + 451206833.

Almost surely, 2^{1142001292608} is an apocalyptic number.

1142001292608 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 1142001292608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950375697920).

1142001292608 is an abundant number, since it is smaller than the sum of its proper divisors (2758750103232).

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

1142001292608 is a wasteful number, since it uses less digits than its factorization.

1142001292608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2707 (or 2694 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 1142001292608 in words is "one trillion, one hundred forty-two billion, one million, two hundred ninety-two thousand, six hundred eight".