1016115345 has 48 divisors (see below), whose sum is σ = 2118829440. Its totient is φ = 440059392.

The previous prime is 1016115329. The next prime is 1016115371. The reversal of 1016115345 is 5435116101.

1016115345 is a `hidden beast` number, since 1 + 0 + 1 + 611 + 5 + 3 + 45 = 666.

It is not a de Polignac number, because 1016115345 - 2⁴ = 1016115329 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78904 + ... + 90873.

It is an arithmetic number, because the mean of its divisors is an integer number (44142280).

Almost surely, 2^1016115345 is an apocalyptic number.

1016115345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1016115345 is an abundant number, since it is smaller than the sum of its proper divisors (1102714095).

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

1016115345 is a wasteful number, since it uses less digits than its factorization.

1016115345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169814 (or 169811 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 1016115345 is about 31876.5641969143. The cubic root of 1016115345 is about 1005.3431812324.

The spelling of 1016115345 in words is "one billion, sixteen million, one hundred fifteen thousand, three hundred forty-five".