1645078958208 has 768 divisors, whose sum is σ = 6043891875840. Its totient is φ = 435042938880.

The previous prime is 1645078958207. The next prime is 1645078958227. The reversal of 1645078958208 is 8028598705461.

1645078958208 is a `hidden beast` number, since 1 + 6 + 45 + 0 + 7 + 8 + 9 + 582 + 0 + 8 = 666.

It is a super-2 number, since 2×1645078958208² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1645078958207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 155234766 + ... + 155245362.

It is an arithmetic number, because the mean of its divisors is an integer number (7869650880).

Almost surely, 2^{1645078958208} is an apocalyptic number.

1645078958208 is a gapful number since it is divisible by the number (18) 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 1645078958208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3021945937920).

1645078958208 is an abundant number, since it is smaller than the sum of its proper divisors (4398812917632).

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

1645078958208 is a wasteful number, since it uses less digits than its factorization.

1645078958208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10687 (or 10663 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 1645078958208 in words is "one trillion, six hundred forty-five billion, seventy-eight million, nine hundred fifty-eight thousand, two hundred eight".