1007148016 has 40 divisors (see below), whose sum is σ = 2231798624. Its totient is φ = 431308800.

The previous prime is 1007148013. The next prime is 1007148019. The reversal of 1007148016 is 6108417001.

It is an interprime number because it is at equal distance from previous prime (1007148013) and next prime (1007148019).

It is a super-2 number, since 2×1007148016² = 2028694252265472512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007148013) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 199216 + ... + 204208.

Almost surely, 2^1007148016 is an apocalyptic number.

1007148016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1007148016 is an abundant number, since it is smaller than the sum of its proper divisors (1224650608).

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

1007148016 is a wasteful number, since it uses less digits than its factorization.

1007148016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6809 (or 6803 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 28.

The square root of 1007148016 is about 31735.5954095713. The cubic root of 1007148016 is about 1002.3770173118.

The spelling of 1007148016 in words is "one billion, seven million, one hundred forty-eight thousand, sixteen".