45506396160 has 512 divisors, whose sum is σ = 165085286400. Its totient is φ = 12039487488.

The previous prime is 45506396137. The next prime is 45506396189. The reversal of 45506396160 is 6169360554.

45506396160 is a `hidden beast` number, since 4 + 5 + 5 + 0 + 639 + 6 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358318017 + ... + 358318143.

It is an arithmetic number, because the mean of its divisors is an integer number (322432200).

Almost surely, 2^45506396160 is an apocalyptic number.

45506396160 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 45506396160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82542643200).

45506396160 is an abundant number, since it is smaller than the sum of its proper divisors (119578890240).

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

45506396160 is an frugal number, since it uses more digits than its factorization.

45506396160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 45506396160 in words is "forty-five billion, five hundred six million, three hundred ninety-six thousand, one hundred sixty".