1416630345156 has 144 divisors (see below), whose sum is σ = 3897563814144. Its totient is φ = 431234869248.

The previous prime is 1416630345133. The next prime is 1416630345223. The reversal of 1416630345156 is 6515430366141.

1416630345156 is a `hidden beast` number, since 1 + 4 + 1 + 6 + 630 + 3 + 4 + 5 + 1 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206412181 + ... + 206419043.

It is an arithmetic number, because the mean of its divisors is an integer number (27066415376).

Almost surely, 2^{1416630345156} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1416630345156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948781907072).

1416630345156 is an abundant number, since it is smaller than the sum of its proper divisors (2480933468988).

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

1416630345156 is a wasteful number, since it uses less digits than its factorization.

1416630345156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11530 (or 11525 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 1416630345156 in words is "one trillion, four hundred sixteen billion, six hundred thirty million, three hundred forty-five thousand, one hundred fifty-six".