1630493145600 has 480 divisors, whose sum is σ = 5881873536000. Its totient is φ = 394868736000.

The previous prime is 1630493145571. The next prime is 1630493145629. The reversal of 1630493145600 is 65413940361.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1630493145571) and next prime (1630493145629).

It is a tau number, because it is divible by the number of its divisors (480).

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, 815653401 + ... + 815655399.

It is an arithmetic number, because the mean of its divisors is an integer number (12253903200).

Almost surely, 2^{1630493145600} is an apocalyptic number.

1630493145600 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 1630493145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2940936768000).

1630493145600 is an abundant number, since it is smaller than the sum of its proper divisors (4251380390400).

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

1630493145600 is a wasteful number, since it uses less digits than its factorization.

1630493145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3972 (or 3951 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 1630493145600 in words is "one trillion, six hundred thirty billion, four hundred ninety-three million, one hundred forty-five thousand, six hundred".