1813158756864 has 960 divisors, whose sum is σ = 7078115721600. Its totient is φ = 452985716736.

The previous prime is 1813158756859. The next prime is 1813158756889. The reversal of 1813158756864 is 4686578513181.

It is a happy number.

1813158756864 is a `hidden beast` number, since 1 + 8 + 1 + 3 + 1 + 5 + 8 + 7 + 568 + 64 = 666.

It is a super-2 number, since 2×1813158756864² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 167306454 + ... + 167317290.

It is an arithmetic number, because the mean of its divisors is an integer number (7373037210).

Almost surely, 2^{1813158756864} is an apocalyptic number.

1813158756864 is a gapful number since it is divisible by the number (14) 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 1813158756864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3539057860800).

1813158756864 is an abundant number, since it is smaller than the sum of its proper divisors (5264956964736).

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

1813158756864 is a wasteful number, since it uses less digits than its factorization.

1813158756864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10910 (or 10881 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 63.

The spelling of 1813158756864 in words is "one trillion, eight hundred thirteen billion, one hundred fifty-eight million, seven hundred fifty-six thousand, eight hundred sixty-four".