45509009670144 has 408 divisors, whose sum is σ = 143240460008720. Its totient is φ = 14277175934976.

The previous prime is 45509009670121. The next prime is 45509009670199. The reversal of 45509009670144 is 44107690090554.

45509009670144 is a `hidden beast` number, since 4 + 5 + 509 + 0 + 0 + 96 + 7 + 0 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (408).

It is a super-2 number, since 2×45509009670144² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 511332912 + ... + 511421904.

Almost surely, 2^{45509009670144} 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 45509009670144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71620230004360).

45509009670144 is an abundant number, since it is smaller than the sum of its proper divisors (97731450338576).

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

45509009670144 is an frugal number, since it uses more digits than its factorization.

45509009670144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89068 (or 89015 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 45509009670144 in words is "forty-five trillion, five hundred nine billion, nine million, six hundred seventy thousand, one hundred forty-four".