914341461768 has 192 divisors, whose sum is σ = 2956776595200. Its totient is φ = 261039542400.

The previous prime is 914341461757. The next prime is 914341461769. The reversal of 914341461768 is 867164143419.

It is a happy number.

914341461768 is a `hidden beast` number, since 9 + 1 + 4 + 3 + 4 + 14 + 617 + 6 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (914341461769) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14012418 + ... + 14077518.

It is an arithmetic number, because the mean of its divisors is an integer number (15399878100).

Almost surely, 2^914341461768 is an apocalyptic number.

914341461768 is a gapful number since it is divisible by the number (98) 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 914341461768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478388297600).

914341461768 is an abundant number, since it is smaller than the sum of its proper divisors (2042435133432).

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

914341461768 is a wasteful number, since it uses less digits than its factorization.

914341461768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66457 (or 66440 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 914341461768 in words is "nine hundred fourteen billion, three hundred forty-one million, four hundred sixty-one thousand, seven hundred sixty-eight".