1516031946 has 96 divisors (see below), whose sum is σ = 3870921600. Its totient is φ = 422755200.

The previous prime is 1516031929. The next prime is 1516031989. The reversal of 1516031946 is 6491306151.

1516031946 is a `hidden beast` number, since 1 + 5 + 1 + 603 + 1 + 9 + 46 = 666.

It is a super-4 number, since 4×1516031946⁴ (a number of 38 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1516031946.

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, 1082955 + ... + 1084353.

It is an arithmetic number, because the mean of its divisors is an integer number (40322100).

Almost surely, 2^1516031946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1516031946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935460800).

1516031946 is an abundant number, since it is smaller than the sum of its proper divisors (2354889654).

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

1516031946 is a wasteful number, since it uses less digits than its factorization.

1516031946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1852 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1516031946 is about 38936.2549046515. The cubic root of 1516031946 is about 1148.7780204581.

The spelling of 1516031946 in words is "one billion, five hundred sixteen million, thirty-one thousand, nine hundred forty-six".