1461621285696 has 896 divisors, whose sum is σ = 5055128580096. Its totient is φ = 365472645120.

The previous prime is 1461621285647. The next prime is 1461621285701. The reversal of 1461621285696 is 6965821261641.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

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 127 ways as a sum of consecutive naturals, for example, 1857205815 + ... + 1857206601.

It is an arithmetic number, because the mean of its divisors is an integer number (5641884576).

Almost surely, 2^{1461621285696} is an apocalyptic number.

1461621285696 is a gapful number since it is divisible by the number (16) 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 1461621285696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2527564290048).

1461621285696 is an abundant number, since it is smaller than the sum of its proper divisors (3593507294400).

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

1461621285696 is a wasteful number, since it uses less digits than its factorization.

1461621285696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1029 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 57.

It can be divided in two parts, 14616 and 21285696, that added together give a palindrome (21300312).

The spelling of 1461621285696 in words is "one trillion, four hundred sixty-one billion, six hundred twenty-one million, two hundred eighty-five thousand, six hundred ninety-six".