1873819164672 has 672 divisors, whose sum is σ = 6952288831488. Its totient is φ = 472668438528.

The previous prime is 1873819164653. The next prime is 1873819164683. The reversal of 1873819164672 is 2764619183781.

1873819164672 is a `hidden beast` number, since 1 + 8 + 7 + 3 + 81 + 91 + 6 + 467 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×1873819164672² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154306633 + ... + 154318775.

It is an arithmetic number, because the mean of its divisors is an integer number (10345667904).

Almost surely, 2^{1873819164672} is an apocalyptic number.

1873819164672 is a gapful number since it is divisible by the number (12) 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 1873819164672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3476144415744).

1873819164672 is an abundant number, since it is smaller than the sum of its proper divisors (5078469666816).

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

1873819164672 is a wasteful number, since it uses less digits than its factorization.

1873819164672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12218 (or 12191 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The spelling of 1873819164672 in words is "one trillion, eight hundred seventy-three billion, eight hundred nineteen million, one hundred sixty-four thousand, six hundred seventy-two".