1461115656 has 576 divisors, whose sum is σ = 5693251200. Its totient is φ = 328458240.

The previous prime is 1461115627. The next prime is 1461115657. The reversal of 1461115656 is 6565111641.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1461115656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461115657) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15063000 + ... + 15063096.

Almost surely, 2^1461115656 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 1461115656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2846625600).

1461115656 is an abundant number, since it is smaller than the sum of its proper divisors (4232135544).

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

1461115656 is a wasteful number, since it uses less digits than its factorization.

1461115656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 152 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 1461115656 is about 38224.5425871913. The cubic root of 1461115656 is about 1134.7360822971.

The spelling of 1461115656 in words is "one billion, four hundred sixty-one million, one hundred fifteen thousand, six hundred fifty-six".