1016149909248 has 180 divisors, whose sum is σ = 3103879596048. Its totient is φ = 330454978560.

The previous prime is 1016149909237. The next prime is 1016149909259. The reversal of 1016149909248 is 8429099416101.

1016149909248 is a `hidden beast` number, since 1 + 0 + 1 + 61 + 499 + 0 + 92 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1016149909237) and next prime (1016149909259).

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

It is a junction number, because it is equal to n+sod(n) for n = 1016149909194 and 1016149909203.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 252565 + ... + 1447787.

Almost surely, 2^{1016149909248} is an apocalyptic number.

1016149909248 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 1016149909248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551939798024).

1016149909248 is an abundant number, since it is smaller than the sum of its proper divisors (2087729686800).

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

1016149909248 is an equidigital number, since it uses as much as digits as its factorization.

1016149909248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195292 (or 1195269 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 1016149909248 in words is "one trillion, sixteen billion, one hundred forty-nine million, nine hundred nine thousand, two hundred forty-eight".