1016499456000 has 1920 divisors, whose sum is σ = 4452319872000. Its totient is φ = 225873100800.

The previous prime is 1016499455989. The next prime is 1016499456031. The reversal of 1016499456000 is 6549946101.

It is a happy number.

1016499456000 is a `hidden beast` number, since 101 + 6 + 4 + 99 + 456 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×1016499456000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6822143926 + ... + 6822144074.

It is an arithmetic number, because the mean of its divisors is an integer number (2318916600).

Almost surely, 2^{1016499456000} is an apocalyptic number.

1016499456000 is a gapful number since it is divisible by the number (10) 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 1016499456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2226159936000).

1016499456000 is an abundant number, since it is smaller than the sum of its proper divisors (3435820416000).

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

1016499456000 is an equidigital number, since it uses as much as digits as its factorization.

1016499456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 1016499456000 in words is "one trillion, sixteen billion, four hundred ninety-nine million, four hundred fifty-six thousand".