1016373312 has 224 divisors, whose sum is σ = 3160166400. Its totient is φ = 319689216.

The previous prime is 1016373301. The next prime is 1016373329. The reversal of 1016373312 is 2133736101.

1016373312 is a `hidden beast` number, since 10 + 1 + 637 + 3 + 3 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 4252489 + ... + 4252727.

Almost surely, 2^1016373312 is an apocalyptic number.

1016373312 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 1016373312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580083200).

1016373312 is an abundant number, since it is smaller than the sum of its proper divisors (2143793088).

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

1016373312 is a wasteful number, since it uses less digits than its factorization.

1016373312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 1016373312 is about 31880.6102827408. The cubic root of 1016373312 is about 1005.4282514369.

The spelling of 1016373312 in words is "one billion, sixteen million, three hundred seventy-three thousand, three hundred twelve".