15541414056 has 128 divisors (see below), whose sum is σ = 49372646400. Its totient is φ = 4437270720.

The previous prime is 15541414051. The next prime is 15541414061. The reversal of 15541414056 is 65041414551.

15541414056 is a `hidden beast` number, since 1 + 55 + 414 + 140 + 56 = 666.

15541414056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (15541414051) and next prime (15541414061).

It is a super-2 number, since 2×15541414056² (a number of 21 digits) contains 22 as substring.

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 15541414056.

It is not an unprimeable number, because it can be changed into a prime (15541414051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2917011 + ... + 2922333.

It is an arithmetic number, because the mean of its divisors is an integer number (385723800).

Almost surely, 2^15541414056 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 15541414056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24686323200).

15541414056 is an abundant number, since it is smaller than the sum of its proper divisors (33831232344).

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

15541414056 is a wasteful number, since it uses less digits than its factorization.

15541414056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7276 (or 7266 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 15541414056 in words is "fifteen billion, five hundred forty-one million, four hundred fourteen thousand, fifty-six".