19485162994752 has 1512 divisors, whose sum is σ = 73383790131288. Its totient is φ = 4898566471680.

The previous prime is 19485162994729. The next prime is 19485162994793. The reversal of 19485162994752 is 25749926158491.

19485162994752 is a `hidden beast` number, since 1 + 9 + 4 + 8 + 5 + 1 + 62 + 99 + 475 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1601601615936 + 17883561378816 = 1265544^2 + 4228896^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 25739977158 + ... + 25739977914.

Almost surely, 2^{19485162994752} is an apocalyptic number.

19485162994752 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 19485162994752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36691895065644).

19485162994752 is an abundant number, since it is smaller than the sum of its proper divisors (53898627136536).

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

19485162994752 is a wasteful number, since it uses less digits than its factorization.

19485162994752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 886 counting only the distinct ones).

The product of its digits is 391910400, while the sum is 72.

The spelling of 19485162994752 in words is "nineteen trillion, four hundred eighty-five billion, one hundred sixty-two million, nine hundred ninety-four thousand, seven hundred fifty-two".