61654388345616 has 160 divisors (see below), whose sum is σ = 182970183444480. Its totient is φ = 17692856870400.

The previous prime is 61654388345477. The next prime is 61654388345623.

61654388345616 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

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 31 ways as a sum of consecutive naturals, for example, 24303006 + ... + 26719746.

It is an arithmetic number, because the mean of its divisors is an integer number (1143563646528).

Almost surely, 2^{61654388345616} is an apocalyptic number.

61654388345616 is a gapful number since it is divisible by the number (66) 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 61654388345616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91485091722240).

61654388345616 is an abundant number, since it is smaller than the sum of its proper divisors (121315795098864).

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

61654388345616 is a wasteful number, since it uses less digits than its factorization.

61654388345616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2419325 (or 2419319 counting only the distinct ones).

The product of its digits is 298598400, while the sum is 66.

The spelling of 61654388345616 in words is "sixty-one trillion, six hundred fifty-four billion, three hundred eighty-eight million, three hundred forty-five thousand, six hundred sixteen".