1973649452544 has 1440 divisors, whose sum is σ = 7895775888000. Its totient is φ = 485341839360.

The previous prime is 1973649452527. The next prime is 1973649452587. The reversal of 1973649452544 is 4452549463791.

1973649452544 is a `hidden beast` number, since 1 + 9 + 7 + 3 + 6 + 49 + 45 + 2 + 544 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1274143482 + ... + 1274145030.

It is an arithmetic number, because the mean of its divisors is an integer number (5483177700).

Almost surely, 2^{1973649452544} is an apocalyptic number.

1973649452544 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 1973649452544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3947887944000).

1973649452544 is an abundant number, since it is smaller than the sum of its proper divisors (5922126435456).

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

1973649452544 is a wasteful number, since it uses less digits than its factorization.

1973649452544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626 (or 1591 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 63.

The spelling of 1973649452544 in words is "one trillion, nine hundred seventy-three billion, six hundred forty-nine million, four hundred fifty-two thousand, five hundred forty-four".