1023198483600 has 180 divisors, whose sum is σ = 3561020111376. Its totient is φ = 272066277120.

The previous prime is 1023198483569. The next prime is 1023198483647. The reversal of 1023198483600 is 63848913201.

1023198483600 is a `hidden beast` number, since 1 + 0 + 2 + 31 + 9 + 8 + 4 + 8 + 3 + 600 = 666.

1023198483600 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-3 number, since 3×1023198483600³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 839659 + ... + 1658741.

Almost surely, 2^{1023198483600} is an apocalyptic number.

1023198483600 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 1023198483600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780510055688).

1023198483600 is an abundant number, since it is smaller than the sum of its proper divisors (2537821627776).

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

1023198483600 is a wasteful number, since it uses less digits than its factorization.

1023198483600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819454 (or 819440 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1023198483600 in words is "one trillion, twenty-three billion, one hundred ninety-eight million, four hundred eighty-three thousand, six hundred".