19146240000 has 520 divisors, whose sum is σ = 71136541520. Its totient is φ = 5087232000.

The previous prime is 19146239971. The next prime is 19146240011. The reversal of 19146240000 is 4264191.

It is a super-2 number, since 2×19146240000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 69119862 + ... + 69120138.

Almost surely, 2^19146240000 is an apocalyptic number.

19146240000 is a gapful number since it is divisible by the number (10) 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 19146240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35568270760).

19146240000 is an abundant number, since it is smaller than the sum of its proper divisors (51990301520).

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

19146240000 is an frugal number, since it uses more digits than its factorization.

19146240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 19146240000 in words is "nineteen billion, one hundred forty-six million, two hundred forty thousand".