1630412152992 has 288 divisors, whose sum is σ = 5625522705600. Its totient is φ = 457935883776.

The previous prime is 1630412152987. The next prime is 1630412153011. The reversal of 1630412152992 is 2992512140361.

It is a happy number.

1630412152992 is a `hidden beast` number, since 1 + 6 + 30 + 4 + 1 + 2 + 1 + 529 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2171458 + ... + 2824190.

It is an arithmetic number, because the mean of its divisors is an integer number (19533064950).

Almost surely, 2^{1630412152992} is an apocalyptic number.

1630412152992 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 1630412152992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812761352800).

1630412152992 is an abundant number, since it is smaller than the sum of its proper divisors (3995110552608).

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

1630412152992 is a wasteful number, since it uses less digits than its factorization.

1630412152992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652825 (or 652804 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 1630412152992 in words is "one trillion, six hundred thirty billion, four hundred twelve million, one hundred fifty-two thousand, nine hundred ninety-two".