1048965731712 has 256 divisors, whose sum is σ = 3204866520000. Its totient is φ = 337365762048.

The previous prime is 1048965731687. The next prime is 1048965731747. The reversal of 1048965731712 is 2171375698401.

1048965731712 is a `hidden beast` number, since 1 + 0 + 48 + 9 + 6 + 573 + 17 + 12 = 666.

1048965731712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1048965731712² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202149214 + ... + 202154402.

It is a 1-persistent number, because it is pandigital, but 2⋅1048965731712 = 2097931463424 is not.

Almost surely, 2^{1048965731712} is an apocalyptic number.

1048965731712 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 1048965731712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602433260000).

1048965731712 is an abundant number, since it is smaller than the sum of its proper divisors (2155900788288).

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

1048965731712 is a wasteful number, since it uses less digits than its factorization.

1048965731712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7258 (or 7240 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 1048965731712 in words is "one trillion, forty-eight billion, nine hundred sixty-five million, seven hundred thirty-one thousand, seven hundred twelve".