1813154162976 has 480 divisors, whose sum is σ = 5954319201600. Its totient is φ = 537416570880.

The previous prime is 1813154162951. The next prime is 1813154162999. The reversal of 1813154162976 is 6792614513181.

1813154162976 is a `hidden beast` number, since 1 + 8 + 1 + 3 + 1 + 5 + 4 + 1 + 629 + 7 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 479795455 + ... + 479799233.

It is an arithmetic number, because the mean of its divisors is an integer number (12404831670).

Almost surely, 2^{1813154162976} is an apocalyptic number.

1813154162976 is a gapful number since it is divisible by the number (16) 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 1813154162976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2977159600800).

1813154162976 is an abundant number, since it is smaller than the sum of its proper divisors (4141165038624).

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

1813154162976 is a wasteful number, since it uses less digits than its factorization.

1813154162976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4334 (or 4317 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The spelling of 1813154162976 in words is "one trillion, eight hundred thirteen billion, one hundred fifty-four million, one hundred sixty-two thousand, nine hundred seventy-six".