1461244635504 has 120 divisors (see below), whose sum is σ = 4136839162352. Its totient is φ = 481470013440.

The previous prime is 1461244635503. The next prime is 1461244635517. The reversal of 1461244635504 is 4055364421641.

1461244635504 is a `hidden beast` number, since 1 + 4 + 6 + 1 + 2 + 4 + 4 + 635 + 5 + 0 + 4 = 666.

It is a super-4 number, since 4×1461244635504⁴ (a number of 50 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1461244635504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461244635503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4195899 + ... + 4530789.

Almost surely, 2^{1461244635504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1461244635504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068419581176).

1461244635504 is an abundant number, since it is smaller than the sum of its proper divisors (2675594526848).

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

1461244635504 is a wasteful number, since it uses less digits than its factorization.

1461244635504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335255 (or 335246 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 1461244635504 in words is "one trillion, four hundred sixty-one billion, two hundred forty-four million, six hundred thirty-five thousand, five hundred four".