1283993733792 has 768 divisors, whose sum is σ = 4536441262080. Its totient is φ = 307954483200.

The previous prime is 1283993733791. The next prime is 1283993733833. The reversal of 1283993733792 is 2973373993821.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (1283993733791) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1347317188 + ... + 1347318140.

It is an arithmetic number, because the mean of its divisors is an integer number (5906824560).

Almost surely, 2^{1283993733792} is an apocalyptic number.

1283993733792 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 1283993733792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2268220631040).

1283993733792 is an abundant number, since it is smaller than the sum of its proper divisors (3252447528288).

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

1283993733792 is a wasteful number, since it uses less digits than its factorization.

1283993733792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1229 counting only the distinct ones).

The product of its digits is 92588832, while the sum is 66.

The spelling of 1283993733792 in words is "one trillion, two hundred eighty-three billion, nine hundred ninety-three million, seven hundred thirty-three thousand, seven hundred ninety-two".