19344970272 has 96 divisors (see below), whose sum is σ = 53370455040. Its totient is φ = 6123490560.

The previous prime is 19344970241. The next prime is 19344970279. The reversal of 19344970272 is 27207944391.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (19344970279) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275397 + ... + 338427.

It is an arithmetic number, because the mean of its divisors is an integer number (555942240).

Almost surely, 2^19344970272 is an apocalyptic number.

19344970272 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 19344970272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26685227520).

19344970272 is an abundant number, since it is smaller than the sum of its proper divisors (34025484768).

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

19344970272 is a wasteful number, since it uses less digits than its factorization.

19344970272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63206 (or 63198 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 19344970272 in words is "nineteen billion, three hundred forty-four million, nine hundred seventy thousand, two hundred seventy-two".