1872669472416 has 192 divisors, whose sum is σ = 5683419302400. Its totient is φ = 599413920768.

The previous prime is 1872669472409. The next prime is 1872669472423. The reversal of 1872669472416 is 6142749662781.

1872669472416 is a `hidden beast` number, since 1 + 8 + 7 + 2 + 66 + 94 + 72 + 416 = 666.

It is an interprime number because it is at equal distance from previous prime (1872669472409) and next prime (1872669472423).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1717170 + ... + 2587278.

It is an arithmetic number, because the mean of its divisors is an integer number (29601142200).

Almost surely, 2^{1872669472416} is an apocalyptic number.

1872669472416 is a gapful number since it is divisible by the number (16) 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 1872669472416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2841709651200).

1872669472416 is an abundant number, since it is smaller than the sum of its proper divisors (3810749829984).

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

1872669472416 is a wasteful number, since it uses less digits than its factorization.

1872669472416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870228 (or 870214 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The spelling of 1872669472416 in words is "one trillion, eight hundred seventy-two billion, six hundred sixty-nine million, four hundred seventy-two thousand, four hundred sixteen".