1913315688 has 128 divisors (see below), whose sum is σ = 5474044800. Its totient is φ = 618928128.

The previous prime is 1913315669. The next prime is 1913315731. The reversal of 1913315688 is 8865133191.

It is a happy number.

1913315688 is a `hidden beast` number, since 191 + 331 + 56 + 88 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1109595 + ... + 1111317.

It is an arithmetic number, because the mean of its divisors is an integer number (42765975).

Almost surely, 2^1913315688 is an apocalyptic number.

1913315688 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 1913315688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737022400).

1913315688 is an abundant number, since it is smaller than the sum of its proper divisors (3560729112).

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

1913315688 is a wasteful number, since it uses less digits than its factorization.

1913315688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888 (or 1878 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 1913315688 is about 43741.4641730247. The cubic root of 1913315688 is about 1241.4489842637.

The spelling of 1913315688 in words is "one billion, nine hundred thirteen million, three hundred fifteen thousand, six hundred eighty-eight".