19144750464 has 640 divisors, whose sum is σ = 70379020800. Its totient is φ = 5041668096.

The previous prime is 19144750451. The next prime is 19144750489. The reversal of 19144750464 is 46405744191.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 72793597 + ... + 72793859.

It is an arithmetic number, because the mean of its divisors is an integer number (109967220).

Almost surely, 2^19144750464 is an apocalyptic number.

19144750464 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 19144750464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35189510400).

19144750464 is an abundant number, since it is smaller than the sum of its proper divisors (51234270336).

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

19144750464 is a wasteful number, since it uses less digits than its factorization.

19144750464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 19144750464 in words is "nineteen billion, one hundred forty-four million, seven hundred fifty thousand, four hundred sixty-four".