19446031020416 has 512 divisors, whose sum is σ = 55147212288000. Its totient is φ = 6577714667520.

The previous prime is 19446031020307. The next prime is 19446031020439. The reversal of 19446031020416 is 61402013064491.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 338357315 + ... + 338414781.

It is an arithmetic number, because the mean of its divisors is an integer number (107709399000).

Almost surely, 2^{19446031020416} is an apocalyptic number.

19446031020416 is a gapful number since it is divisible by the number (16) 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 19446031020416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27573606144000).

19446031020416 is an abundant number, since it is smaller than the sum of its proper divisors (35701181267584).

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

19446031020416 is a wasteful number, since it uses less digits than its factorization.

19446031020416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57670 (or 57658 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The spelling of 19446031020416 in words is "nineteen trillion, four hundred forty-six billion, thirty-one million, twenty thousand, four hundred sixteen".