1913145163776 has 1920 divisors, whose sum is σ = 7694761092480. Its totient is φ = 462469201920.

The previous prime is 1913145163771. The next prime is 1913145163777. The reversal of 1913145163776 is 6773615413191.

1913145163776 is a `hidden beast` number, since 1 + 9 + 13 + 14 + 516 + 37 + 76 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1913145163771) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 51706626030 + ... + 51706626066.

It is an arithmetic number, because the mean of its divisors is an integer number (4007688069).

Almost surely, 2^{1913145163776} is an apocalyptic number.

1913145163776 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 1913145163776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3847380546240).

1913145163776 is an abundant number, since it is smaller than the sum of its proper divisors (5781615928704).

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

1913145163776 is an equidigital number, since it uses as much as digits as its factorization.

1913145163776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 83 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The spelling of 1913145163776 in words is "one trillion, nine hundred thirteen billion, one hundred forty-five million, one hundred sixty-three thousand, seven hundred seventy-six".