1645249041072 has 960 divisors, whose sum is σ = 6037645565952. Its totient is φ = 406591488000.

The previous prime is 1645249041013. The next prime is 1645249041089. The reversal of 1645249041072 is 2701409425461.

1645249041072 is a `hidden beast` number, since 1 + 6 + 4 + 52 + 490 + 4 + 107 + 2 = 666.

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 191 ways as a sum of consecutive naturals, for example, 2881346547 + ... + 2881347117.

Almost surely, 2^{1645249041072} is an apocalyptic number.

1645249041072 is a gapful number since it is divisible by the number (12) 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 1645249041072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3018822782976).

1645249041072 is an abundant number, since it is smaller than the sum of its proper divisors (4392396524880).

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

1645249041072 is a wasteful number, since it uses less digits than its factorization.

1645249041072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 1645249041072 in words is "one trillion, six hundred forty-five billion, two hundred forty-nine million, forty-one thousand, seventy-two".