1645829568100 has 36 divisors (see below), whose sum is σ = 3574521309744. Its totient is φ = 657765717280.

The previous prime is 1645829568091. The next prime is 1645829568101. The reversal of 1645829568100 is 18659285461.

It is a super-2 number, since 2×1645829568100² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1645829568101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6959494 + ... + 7192093.

It is an arithmetic number, because the mean of its divisors is an integer number (99292258604).

Almost surely, 2^{1645829568100} is an apocalyptic number.

1645829568100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1645829568100 is an abundant number, since it is smaller than the sum of its proper divisors (1928691741644).

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

1645829568100 is a wasteful number, since it uses less digits than its factorization.

1645829568100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14152764 (or 14152757 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 55.

The spelling of 1645829568100 in words is "one trillion, six hundred forty-five billion, eight hundred twenty-nine million, five hundred sixty-eight thousand, one hundred".