1645405278048 has 1344 divisors, whose sum is σ = 6081626880000. Its totient is φ = 436525479936.

The previous prime is 1645405278031. The next prime is 1645405278053. The reversal of 1645405278048 is 8408725045461.

1645405278048 is a `hidden beast` number, since 1 + 6 + 4 + 540 + 52 + 7 + 8 + 0 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1645405277985 and 1645405278003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 12010257436 + ... + 12010257572.

It is an arithmetic number, because the mean of its divisors is an integer number (4525020000).

Almost surely, 2^{1645405278048} is an apocalyptic number.

1645405278048 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 1645405278048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3040813440000).

1645405278048 is an abundant number, since it is smaller than the sum of its proper divisors (4436221601952).

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

1645405278048 is an equidigital number, since it uses as much as digits as its factorization.

1645405278048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 1645405278048 in words is "one trillion, six hundred forty-five billion, four hundred five million, two hundred seventy-eight thousand, forty-eight".