1813190952960 has 192 divisors, whose sum is σ = 6445328198400. Its totient is φ = 483517513728.

The previous prime is 1813190952959. The next prime is 1813190952977. The reversal of 1813190952960 is 692590913181.

1813190952960 is a `hidden beast` number, since 1 + 81 + 3 + 190 + 95 + 296 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1813190952960² (a number of 25 digits) contains 22 as substring.

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 = 1813190952897 and 1813190952906.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3002584 + ... + 3555543.

It is an arithmetic number, because the mean of its divisors is an integer number (33569417700).

Almost surely, 2^{1813190952960} is an apocalyptic number.

1813190952960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1813190952960 is an abundant number, since it is smaller than the sum of its proper divisors (4632137245440).

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

1813190952960 is an equidigital number, since it uses as much as digits as its factorization.

1813190952960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6558163 (or 6558137 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

The spelling of 1813190952960 in words is "one trillion, eight hundred thirteen billion, one hundred ninety million, nine hundred fifty-two thousand, nine hundred sixty".