19314774864 has 320 divisors, whose sum is σ = 69366036480. Its totient is φ = 4999034880.

The previous prime is 19314774863. The next prime is 19314774901. The reversal of 19314774864 is 46847741391.

It is a happy number.

19314774864 is a `hidden beast` number, since 1 + 93 + 1 + 4 + 77 + 486 + 4 = 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 a self number, because there is not a number n which added to its sum of digits gives 19314774864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19314774863) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11209107 + ... + 11210829.

It is an arithmetic number, because the mean of its divisors is an integer number (216768864).

Almost surely, 2^19314774864 is an apocalyptic number.

19314774864 is a gapful number since it is divisible by the number (14) 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 19314774864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34683018240).

19314774864 is an abundant number, since it is smaller than the sum of its proper divisors (50051261616).

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

19314774864 is a wasteful number, since it uses less digits than its factorization.

19314774864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095 (or 2083 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 19314774864 in words is "nineteen billion, three hundred fourteen million, seven hundred seventy-four thousand, eight hundred sixty-four".