45661655160 has 192 divisors, whose sum is σ = 162347328000. Its totient is φ = 11038314240.

The previous prime is 45661655159. The next prime is 45661655173. The reversal of 45661655160 is 6155616654.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1405581 + ... + 1437699.

It is an arithmetic number, because the mean of its divisors is an integer number (845559000).

Almost surely, 2^45661655160 is an apocalyptic number.

45661655160 is a gapful number since it is divisible by the number (40) 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 45661655160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81173664000).

45661655160 is an abundant number, since it is smaller than the sum of its proper divisors (116685672840).

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

45661655160 is a wasteful number, since it uses less digits than its factorization.

45661655160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32506 (or 32499 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

It can be divided in two parts, 456 and 61655160, that added together give a palindrome (61655616).

The spelling of 45661655160 in words is "forty-five billion, six hundred sixty-one million, six hundred fifty-five thousand, one hundred sixty".