19134897408 has 432 divisors, whose sum is σ = 63026167680. Its totient is φ = 5721661440.

The previous prime is 19134897391. The next prime is 19134897437. The reversal of 19134897408 is 80479843191.

19134897408 is a `hidden beast` number, since 1 + 91 + 3 + 489 + 74 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×19134897408² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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, 114580141 + ... + 114580307.

Almost surely, 2^19134897408 is an apocalyptic number.

19134897408 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 19134897408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31513083840).

19134897408 is an abundant number, since it is smaller than the sum of its proper divisors (43891270272).

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

19134897408 is a wasteful number, since it uses less digits than its factorization.

19134897408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 19134897408 in words is "nineteen billion, one hundred thirty-four million, eight hundred ninety-seven thousand, four hundred eight".