1014641488368 has 240 divisors, whose sum is σ = 2965591190016. Its totient is φ = 335829888000.

The previous prime is 1014641488351. The next prime is 1014641488391. The reversal of 1014641488368 is 8638841464101.

1014641488368 is a `hidden beast` number, since 1 + 0 + 1 + 464 + 1 + 48 + 83 + 68 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 358149480 + ... + 358152312.

Almost surely, 2^{1014641488368} is an apocalyptic number.

1014641488368 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 1014641488368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482795595008).

1014641488368 is an abundant number, since it is smaller than the sum of its proper divisors (1950949701648).

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

1014641488368 is a wasteful number, since it uses less digits than its factorization.

1014641488368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3474 (or 3456 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 1014641488368 in words is "one trillion, fourteen billion, six hundred forty-one million, four hundred eighty-eight thousand, three hundred sixty-eight".