1619478499968 has 576 divisors, whose sum is σ = 5632945063200. Its totient is φ = 461795862528.

The previous prime is 1619478499963. The next prime is 1619478499973. The reversal of 1619478499968 is 8699948749161.

1619478499968 is a `hidden beast` number, since 1 + 6 + 19 + 478 + 49 + 9 + 96 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1619478499963) and next prime (1619478499973).

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1619478499968² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

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 (1619478499963) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1309197846 + ... + 1309199082.

Almost surely, 2^{1619478499968} is an apocalyptic number.

1619478499968 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 1619478499968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2816472531600).

1619478499968 is an abundant number, since it is smaller than the sum of its proper divisors (4013466563232).

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

1619478499968 is an equidigital number, since it uses as much as digits as its factorization.

1619478499968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2139 (or 2108 counting only the distinct ones).

The product of its digits is 1693052928, while the sum is 81.

The spelling of 1619478499968 in words is "one trillion, six hundred nineteen billion, four hundred seventy-eight million, four hundred ninety-nine thousand, nine hundred sixty-eight".