1023909849216 has 640 divisors, whose sum is σ = 3351445416000. Its totient is φ = 309138923520.

The previous prime is 1023909849211. The next prime is 1023909849223. The reversal of 1023909849216 is 6129489093201.

1023909849216 is a `hidden beast` number, since 102 + 39 + 0 + 9 + 8 + 492 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1023909849211) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 430032346 + ... + 430034726.

Almost surely, 2^{1023909849216} is an apocalyptic number.

1023909849216 is a gapful number since it is divisible by the number (16) 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 1023909849216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675722708000).

1023909849216 is an abundant number, since it is smaller than the sum of its proper divisors (2327535566784).

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

1023909849216 is a wasteful number, since it uses less digits than its factorization.

1023909849216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2522 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 1023909849216 in words is "one trillion, twenty-three billion, nine hundred nine million, eight hundred forty-nine thousand, two hundred sixteen".