1414628603352 has 256 divisors, whose sum is σ = 4292376883200. Its totient is φ = 429864744960.

The previous prime is 1414628603329. The next prime is 1414628603393. The reversal of 1414628603352 is 2533068264141.

1414628603352 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 6 + 2 + 8 + 603 + 35 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1414628603298 and 1414628603307.

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, 30274327 + ... + 30321017.

It is an arithmetic number, because the mean of its divisors is an integer number (16767097200).

Almost surely, 2^{1414628603352} is an apocalyptic number.

1414628603352 is a gapful number since it is divisible by the number (12) 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 1414628603352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146188441600).

1414628603352 is an abundant number, since it is smaller than the sum of its proper divisors (2877748279848).

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

1414628603352 is a wasteful number, since it uses less digits than its factorization.

1414628603352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46983 (or 46973 counting only the distinct ones).

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

The spelling of 1414628603352 in words is "one trillion, four hundred fourteen billion, six hundred twenty-eight million, six hundred three thousand, three hundred fifty-two".