1913468256 has 288 divisors, whose sum is σ = 6717634560. Its totient is φ = 504548352.

The previous prime is 1913468251. The next prime is 1913468257. The reversal of 1913468256 is 6528643191.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1913468256² = 7322721533439363072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1913468251) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1343961 + ... + 1345383.

It is an arithmetic number, because the mean of its divisors is an integer number (23325120).

Almost surely, 2^1913468256 is an apocalyptic number.

1913468256 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 1913468256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3358817280).

1913468256 is an abundant number, since it is smaller than the sum of its proper divisors (4804166304).

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

1913468256 is a wasteful number, since it uses less digits than its factorization.

1913468256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1487 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 1913468256 is about 43743.2081128031. The cubic root of 1913468256 is about 1241.4819811455.

The spelling of 1913468256 in words is "one billion, nine hundred thirteen million, four hundred sixty-eight thousand, two hundred fifty-six".