1645429144128 has 672 divisors, whose sum is σ = 5726071701504. Its totient is φ = 407683584000.

The previous prime is 1645429144103. The next prime is 1645429144129. The reversal of 1645429144128 is 8214419245461.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1645429144129) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 357933126 + ... + 357937722.

It is an arithmetic number, because the mean of its divisors is an integer number (8520940032).

Almost surely, 2^{1645429144128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1645429144128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2863035850752).

1645429144128 is an abundant number, since it is smaller than the sum of its proper divisors (4080642557376).

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

1645429144128 is a wasteful number, since it uses less digits than its factorization.

1645429144128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4743 (or 4722 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 51.

The spelling of 1645429144128 in words is "one trillion, six hundred forty-five billion, four hundred twenty-nine million, one hundred forty-four thousand, one hundred twenty-eight".