19994841022464 has 768 divisors, whose sum is σ = 73693316885760. Its totient is φ = 5072439214080.

The previous prime is 19994841022423. The next prime is 19994841022469. The reversal of 19994841022464 is 46422014849991.

19994841022464 is a `hidden beast` number, since 1 + 9 + 9 + 9 + 484 + 102 + 2 + 46 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19994841022469) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 976443394 + ... + 976463870.

It is an arithmetic number, because the mean of its divisors is an integer number (95954839695).

Almost surely, 2^{19994841022464} is an apocalyptic number.

19994841022464 is a gapful number since it is divisible by the number (14) 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 19994841022464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36846658442880).

19994841022464 is an abundant number, since it is smaller than the sum of its proper divisors (53698475863296).

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

19994841022464 is a wasteful number, since it uses less digits than its factorization.

19994841022464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20574 (or 20543 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 19994841022464 in words is "nineteen trillion, nine hundred ninety-four billion, eight hundred forty-one million, twenty-two thousand, four hundred sixty-four".