19749150432 has 288 divisors, whose sum is σ = 63809665920. Its totient is φ = 5958904320.

The previous prime is 19749150409. The next prime is 19749150517. The reversal of 19749150432 is 23405194791.

19749150432 is a `hidden beast` number, since 19 + 74 + 91 + 50 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 31904619 + ... + 31905237.

It is an arithmetic number, because the mean of its divisors is an integer number (221561340).

Almost surely, 2^19749150432 is an apocalyptic number.

19749150432 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 19749150432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31904832960).

19749150432 is an abundant number, since it is smaller than the sum of its proper divisors (44060515488).

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

19749150432 is a wasteful number, since it uses less digits than its factorization.

19749150432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 19749150432 in words is "nineteen billion, seven hundred forty-nine million, one hundred fifty thousand, four hundred thirty-two".