1101642676146 has 160 divisors (see below), whose sum is σ = 2503573712640. Its totient is φ = 362050560000.

The previous prime is 1101642676091. The next prime is 1101642676153. The reversal of 1101642676146 is 6416762461011.

1101642676146 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 6 + 4 + 26 + 7 + 614 + 6 = 666.

It is a super-2 number, since 2×1101642676146² (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 (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2831986120 + ... + 2831986508.

It is an arithmetic number, because the mean of its divisors is an integer number (15647335704).

Almost surely, 2^{1101642676146} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101642676146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251786856320).

1101642676146 is an abundant number, since it is smaller than the sum of its proper divisors (1401931036494).

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

1101642676146 is a wasteful number, since it uses less digits than its factorization.

1101642676146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 1101642676146 in words is "one trillion, one hundred one billion, six hundred forty-two million, six hundred seventy-six thousand, one hundred forty-six".