1645514196480 has 1920 divisors, whose sum is σ = 7454552878080. Its totient is φ = 340939653120.

The previous prime is 1645514196439. The next prime is 1645514196577. The reversal of 1645514196480 is 846914155461.

1645514196480 is a `hidden beast` number, since 1 + 6 + 4 + 551 + 4 + 1 + 9 + 6 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 191 ways as a sum of consecutive naturals, for example, 4742115667 + ... + 4742116013.

It is an arithmetic number, because the mean of its divisors is an integer number (3882579624).

Almost surely, 2^{1645514196480} is an apocalyptic number.

1645514196480 is a gapful number since it is divisible by the number (10) 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 1645514196480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3727276439040).

1645514196480 is an abundant number, since it is smaller than the sum of its proper divisors (5809038681600).

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

1645514196480 is an frugal number, since it uses more digits than its factorization.

1645514196480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 1645514196480 in words is "one trillion, six hundred forty-five billion, five hundred fourteen million, one hundred ninety-six thousand, four hundred eighty".