19409149152 has 96 divisors (see below), whose sum is σ = 59940064800. Its totient is φ = 6089140224.

The previous prime is 19409149147. The next prime is 19409149157. The reversal of 19409149152 is 25194190491.

It is an interprime number because it is at equal distance from previous prime (19409149147) and next prime (19409149157).

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

It is a junction number, because it is equal to n+sod(n) for n = 19409149098 and 19409149107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19409149157) 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, 646027 + ... + 675402.

It is an arithmetic number, because the mean of its divisors is an integer number (624375675).

Almost surely, 2^19409149152 is an apocalyptic number.

19409149152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19409149152 is an abundant number, since it is smaller than the sum of its proper divisors (40530915648).

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

19409149152 is a wasteful number, since it uses less digits than its factorization.

19409149152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321465 (or 1321451 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 19409149152 in words is "nineteen billion, four hundred nine million, one hundred forty-nine thousand, one hundred fifty-two".