19657468152 has 320 divisors, whose sum is σ = 66979249920. Its totient is φ = 5258068992.

The previous prime is 19657468147. The next prime is 19657468217. The reversal of 19657468152 is 25186475691.

It is a happy number.

19657468152 is a `hidden beast` number, since 1 + 9 + 6 + 574 + 68 + 1 + 5 + 2 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17503863 + ... + 17504985.

It is an arithmetic number, because the mean of its divisors is an integer number (209310156).

Almost surely, 2^19657468152 is an apocalyptic number.

19657468152 is a gapful number since it is divisible by the number (12) 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 19657468152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33489624960).

19657468152 is an abundant number, since it is smaller than the sum of its proper divisors (47321781768).

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

19657468152 is a wasteful number, since it uses less digits than its factorization.

19657468152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1379 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 19657468152 in words is "nineteen billion, six hundred fifty-seven million, four hundred sixty-eight thousand, one hundred fifty-two".