14631942000 has 320 divisors, whose sum is σ = 51297966720. Its totient is φ = 3566592000.

The previous prime is 14631941941. The next prime is 14631942023. The reversal of 14631942000 is 24913641.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8501140 + ... + 8502860.

It is an arithmetic number, because the mean of its divisors is an integer number (160306146).

Almost surely, 2^14631942000 is an apocalyptic number.

14631942000 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 14631942000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25648983360).

14631942000 is an abundant number, since it is smaller than the sum of its proper divisors (36666024720).

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

14631942000 is a wasteful number, since it uses less digits than its factorization.

14631942000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1869 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 14631942000 in words is "fourteen billion, six hundred thirty-one million, nine hundred forty-two thousand".