1142345462600 has 96 divisors (see below), whose sum is σ = 2799561144000. Its totient is φ = 432297181440.

The previous prime is 1142345462591. The next prime is 1142345462611. The reversal of 1142345462600 is 62645432411.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2580341 + ... + 2990459.

It is an arithmetic number, because the mean of its divisors is an integer number (29162095250).

Almost surely, 2^{1142345462600} is an apocalyptic number.

1142345462600 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 1142345462600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399780572000).

1142345462600 is an abundant number, since it is smaller than the sum of its proper divisors (1657215681400).

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

1142345462600 is a wasteful number, since it uses less digits than its factorization.

1142345462600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410887 (or 410878 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The spelling of 1142345462600 in words is "one trillion, one hundred forty-two billion, three hundred forty-five million, four hundred sixty-two thousand, six hundred".