1811753871048 has 192 divisors, whose sum is σ = 5536326096000. Its totient is φ = 548562706560.

The previous prime is 1811753871001. The next prime is 1811753871079. The reversal of 1811753871048 is 8401783571181.

1811753871048 is a `hidden beast` number, since 1 + 81 + 17 + 538 + 7 + 10 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1811753870985 and 1811753871003.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32302213 + ... + 32358251.

It is an arithmetic number, because the mean of its divisors is an integer number (28835031750).

Almost surely, 2^{1811753871048} is an apocalyptic number.

1811753871048 is a gapful number since it is divisible by the number (18) 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 1811753871048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2768163048000).

1811753871048 is an abundant number, since it is smaller than the sum of its proper divisors (3724572224952).

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

1811753871048 is a wasteful number, since it uses less digits than its factorization.

1811753871048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57313 (or 57292 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 54.

The spelling of 1811753871048 in words is "one trillion, eight hundred eleven billion, seven hundred fifty-three million, eight hundred seventy-one thousand, forty-eight".