1611656475000 has 1152 divisors, whose sum is σ = 6283847808000. Its totient is φ = 341193600000.

The previous prime is 1611656474971. The next prime is 1611656475001. The reversal of 1611656475000 is 5746561161.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1611656475001) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 2241524641 + ... + 2241525359.

It is an arithmetic number, because the mean of its divisors is an integer number (5454729000).

Almost surely, 2^{1611656475000} is an apocalyptic number.

1611656475000 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 1611656475000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3141923904000).

1611656475000 is an abundant number, since it is smaller than the sum of its proper divisors (4672191333000).

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

1611656475000 is a wasteful number, since it uses less digits than its factorization.

1611656475000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 1611656475000 in words is "one trillion, six hundred eleven billion, six hundred fifty-six million, four hundred seventy-five thousand".