19172147904 has 1344 divisors, whose sum is σ = 79526952960. Its totient is φ = 4434186240.

The previous prime is 19172147903. The next prime is 19172147933. The reversal of 19172147904 is 40974127191.

19172147904 is a `hidden beast` number, since 1 + 9 + 172 + 1 + 479 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a self number, because there is not a number n which added to its sum of digits gives 19172147904.

It is not an unprimeable number, because it can be changed into a prime (19172147903) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 618456369 + ... + 618456399.

It is an arithmetic number, because the mean of its divisors is an integer number (59171840).

Almost surely, 2^19172147904 is an apocalyptic number.

19172147904 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 19172147904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39763476480).

19172147904 is an abundant number, since it is smaller than the sum of its proper divisors (60354805056).

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

19172147904 is a wasteful number, since it uses less digits than its factorization.

19172147904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 19172147904 in words is "nineteen billion, one hundred seventy-two million, one hundred forty-seven thousand, nine hundred four".