19834712352 has 720 divisors, whose sum is σ = 75114785592. Its totient is φ = 5086126080.

The previous prime is 19834712347. The next prime is 19834712363. The reversal of 19834712352 is 25321743891.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13613288976 + 6221423376 = 116676^2 + 78876^2 .

It is a junction number, because it is equal to n+sod(n) for n = 19834712298 and 19834712307.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 67695118 + ... + 67695410.

Almost surely, 2^19834712352 is an apocalyptic number.

19834712352 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 19834712352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37557392796).

19834712352 is an abundant number, since it is smaller than the sum of its proper divisors (55280073240).

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

19834712352 is a wasteful number, since it uses less digits than its factorization.

19834712352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 359 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 19834712352 in words is "nineteen billion, eight hundred thirty-four million, seven hundred twelve thousand, three hundred fifty-two".