1516871664 has 320 divisors, whose sum is σ = 5607260160. Its totient is φ = 381024000.

The previous prime is 1516871641. The next prime is 1516871683. The reversal of 1516871664 is 4661786151.

1516871664 is a `hidden beast` number, since 1 + 516 + 8 + 71 + 6 + 64 = 666.

It is a super-2 number, since 2×1516871664² = 4601799290092257792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1030449 + ... + 1031919.

It is an arithmetic number, because the mean of its divisors is an integer number (17522688).

Almost surely, 2^1516871664 is an apocalyptic number.

1516871664 is a gapful number since it is divisible by the number (14) 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 1516871664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803630080).

1516871664 is an abundant number, since it is smaller than the sum of its proper divisors (4090388496).

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

1516871664 is a wasteful number, since it uses less digits than its factorization.

1516871664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1537 (or 1525 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 1516871664 is about 38947.0366523565. The cubic root of 1516871664 is about 1148.9900809702.

It can be divided in two parts, 151687 and 1664, that added together give a palindrome (153351).

The spelling of 1516871664 in words is "one billion, five hundred sixteen million, eight hundred seventy-one thousand, six hundred sixty-four".