1611335475672 has 64 divisors (see below), whose sum is σ = 4338509306880. Its totient is φ = 495761427072.

The previous prime is 1611335475583. The next prime is 1611335475707. The reversal of 1611335475672 is 2765745331161.

It is a super-2 number, since 2×1611335475672² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4568313 + ... + 4908375.

It is an arithmetic number, because the mean of its divisors is an integer number (67789207920).

Almost surely, 2^{1611335475672} is an apocalyptic number.

1611335475672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1611335475672 is an abundant number, since it is smaller than the sum of its proper divisors (2727173831208).

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

1611335475672 is a wasteful number, since it uses less digits than its factorization.

1611335475672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355272 (or 355268 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 51.

The spelling of 1611335475672 in words is "one trillion, six hundred eleven billion, three hundred thirty-five million, four hundred seventy-five thousand, six hundred seventy-two".