45450737418240 has 2856 divisors, whose sum is σ = 208131296208048. Its totient is φ = 9417554657280.

The previous prime is 45450737418197. The next prime is 45450737418259. The reversal of 45450737418240 is 4281473705454.

45450737418240 is a `hidden beast` number, since 4 + 5 + 4 + 50 + 7 + 374 + 182 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 128755629904 + ... + 128755630256.

Almost surely, 2^{45450737418240} is an apocalyptic number.

45450737418240 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 45450737418240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104065648104024).

45450737418240 is an abundant number, since it is smaller than the sum of its proper divisors (162680558789808).

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

45450737418240 is an frugal number, since it uses more digits than its factorization.

45450737418240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 15052800, while the sum is 54.

The spelling of 45450737418240 in words is "forty-five trillion, four hundred fifty billion, seven hundred thirty-seven million, four hundred eighteen thousand, two hundred forty".