19460482449408 has 1440 divisors, whose sum is σ = 77933963907072. Its totient is φ = 4514276966400.

The previous prime is 19460482449407. The next prime is 19460482449449. The reversal of 19460482449408 is 80494428406491.

19460482449408 is a `hidden beast` number, since 1 + 9 + 4 + 60 + 4 + 82 + 4 + 494 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (19460482449407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4575705010 + ... + 4575709262.

Almost surely, 2^{19460482449408} is an apocalyptic number.

19460482449408 is a gapful number since it is divisible by the number (18) 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 19460482449408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38966981953536).

19460482449408 is an abundant number, since it is smaller than the sum of its proper divisors (58473481457664).

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

19460482449408 is a wasteful number, since it uses less digits than its factorization.

19460482449408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4349 (or 4320 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 19460482449408 in words is "nineteen trillion, four hundred sixty billion, four hundred eighty-two million, four hundred forty-nine thousand, four hundred eight".