1973822685184 has 175 divisors, whose sum is σ = 4605580535767. Its totient is φ = 845924007936.

The previous prime is 1973822685113. The next prime is 1973822685187. The reversal of 1973822685184 is 4815862283791.

The square root of 1973822685184 is 1404928.

The cubic root of 1973822685184 is 12544.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It is a super-2 number, since 2×1973822685184² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

Its product of digits (46448640) is a multiple of the sum of its prime divisors (9).

It is not an unprimeable number, because it can be changed into a prime (1973822685187) by changing a digit.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 281974669309 + ... + 281974669315.

Almost surely, 2^{1973822685184} is an apocalyptic number.

1973822685184 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1973822685184 is the 1404928-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1973822685184

1973822685184 is an abundant number, since it is smaller than the sum of its proper divisors (2631757850583).

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

1973822685184 is an frugal number, since it uses more digits than its factorization.

1973822685184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 9 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 64.

Multiplying 1973822685184 by its sum of digits (64), we get a 6-th power (126324651851776 = 224⁶).

1973822685184 divided by its sum of digits (64) gives a 6-th power (30840979456 = 56⁶).

The spelling of 1973822685184 in words is "one trillion, nine hundred seventy-three billion, eight hundred twenty-two million, six hundred eighty-five thousand, one hundred eighty-four".