1016012965248 has 256 divisors, whose sum is σ = 3342151584000. Its totient is φ = 301972561920.

The previous prime is 1016012965217. The next prime is 1016012965249. The reversal of 1016012965248 is 8425692106101.

1016012965248 is a `hidden beast` number, since 10 + 1 + 601 + 2 + 9 + 6 + 5 + 24 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1016012965249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 661203 + ... + 1571373.

It is an arithmetic number, because the mean of its divisors is an integer number (13055279625).

Almost surely, 2^{1016012965248} is an apocalyptic number.

1016012965248 is a gapful number since it is divisible by the number (18) 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 1016012965248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671075792000).

1016012965248 is an abundant number, since it is smaller than the sum of its proper divisors (2326138618752).

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

1016012965248 is a wasteful number, since it uses less digits than its factorization.

1016012965248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910230 (or 910212 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 1016012965248 in words is "one trillion, sixteen billion, twelve million, nine hundred sixty-five thousand, two hundred forty-eight".