1045735201680 has 160 divisors (see below), whose sum is σ = 3492042744960. Its totient is φ = 257345679360.

The previous prime is 1045735201673. The next prime is 1045735201699. The reversal of 1045735201680 is 861025375401.

It is a happy number.

It is a super-2 number, since 2×1045735201680² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12722956 + ... + 12804884.

It is an arithmetic number, because the mean of its divisors is an integer number (21825267156).

Almost surely, 2^{1045735201680} is an apocalyptic number.

1045735201680 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 1045735201680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746021372480).

1045735201680 is an abundant number, since it is smaller than the sum of its proper divisors (2446307543280).

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

1045735201680 is a wasteful number, since it uses less digits than its factorization.

1045735201680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86049 (or 86043 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 1045735201680 in words is "one trillion, forty-five billion, seven hundred thirty-five million, two hundred one thousand, six hundred eighty".