1463150493504 has 672 divisors, whose sum is σ = 5115020951040. Its totient is φ = 390865305600.

The previous prime is 1463150493421. The next prime is 1463150493533. The reversal of 1463150493504 is 4053940513641.

1463150493504 is a `hidden beast` number, since 1 + 4 + 6 + 3 + 1 + 50 + 4 + 93 + 504 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1463150493504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1023897462 + ... + 1023898890.

It is an arithmetic number, because the mean of its divisors is an integer number (7611638320).

Almost surely, 2^{1463150493504} is an apocalyptic number.

1463150493504 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 1463150493504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2557510475520).

1463150493504 is an abundant number, since it is smaller than the sum of its proper divisors (3651870457536).

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

1463150493504 is a wasteful number, since it uses less digits than its factorization.

1463150493504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 1463150493504 in words is "one trillion, four hundred sixty-three billion, one hundred fifty million, four hundred ninety-three thousand, five hundred four".