61545559104 has 112 divisors (see below), whose sum is σ = 182965953600. Its totient is φ = 20284627968.

The previous prime is 61545559099. The next prime is 61545559109. The reversal of 61545559104 is 40195554516.

61545559104 is a `hidden beast` number, since 6 + 1 + 5 + 4 + 55 + 591 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (61545559099) and next prime (61545559109).

It is a self number, because there is not a number n which added to its sum of digits gives 61545559104.

It is not an unprimeable number, because it can be changed into a prime (61545559109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46302 + ... + 353885.

Almost surely, 2^61545559104 is an apocalyptic number.

61545559104 is a gapful number since it is divisible by the number (64) 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 61545559104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91482976800).

61545559104 is an abundant number, since it is smaller than the sum of its proper divisors (121420394496).

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

61545559104 is a wasteful number, since it uses less digits than its factorization.

61545559104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400297 (or 400281 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The spelling of 61545559104 in words is "sixty-one billion, five hundred forty-five million, five hundred fifty-nine thousand, one hundred four".