1993463952480 has 4608 divisors, whose sum is σ = 10545086103552. Its totient is φ = 341596569600.

The previous prime is 1993463952479. The next prime is 1993463952499. The reversal of 1993463952480 is 842593643991.

1993463952480 is a `hidden beast` number, since 1 + 9 + 9 + 3 + 4 + 63 + 95 + 2 + 480 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 15217282015 + ... + 15217282145.

It is an arithmetic number, because the mean of its divisors is an integer number (2288430144).

Almost surely, 2^{1993463952480} is an apocalyptic number.

1993463952480 is a gapful number since it is divisible by the number (10) 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 1993463952480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5272543051776).

1993463952480 is an abundant number, since it is smaller than the sum of its proper divisors (8551622151072).

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

1993463952480 is a wasteful number, since it uses less digits than its factorization.

1993463952480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 1993463952480 in words is "one trillion, nine hundred ninety-three billion, four hundred sixty-three million, nine hundred fifty-two thousand, four hundred eighty".