1016672008464 has 480 divisors, whose sum is σ = 3609701107200. Its totient is φ = 272223866880.

The previous prime is 1016672008459. The next prime is 1016672008477. The reversal of 1016672008464 is 4648002766101.

1016672008464 is a `hidden beast` number, since 1 + 0 + 166 + 7 + 20 + 0 + 8 + 464 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85999674 + ... + 86011494.

It is an arithmetic number, because the mean of its divisors is an integer number (7520210640).

Almost surely, 2^{1016672008464} is an apocalyptic number.

1016672008464 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 1016672008464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804850553600).

1016672008464 is an abundant number, since it is smaller than the sum of its proper divisors (2593029098736).

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

1016672008464 is a wasteful number, since it uses less digits than its factorization.

1016672008464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12108 (or 12089 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 1016672008464 in words is "one trillion, sixteen billion, six hundred seventy-two million, eight thousand, four hundred sixty-four".