1949384634624 has 1152 divisors, whose sum is σ = 7133134848000. Its totient is φ = 512806920192.

The previous prime is 1949384634623. The next prime is 1949384634653. The reversal of 1949384634624 is 4264364839491.

1949384634624 is a `hidden beast` number, since 1 + 9 + 4 + 93 + 84 + 6 + 3 + 462 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1949384634623) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6888284787 + ... + 6888285069.

Almost surely, 2^{1949384634624} is an apocalyptic number.

1949384634624 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 1949384634624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3566567424000).

1949384634624 is an abundant number, since it is smaller than the sum of its proper divisors (5183750213376).

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

1949384634624 is a wasteful number, since it uses less digits than its factorization.

1949384634624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 500 counting only the distinct ones).

The product of its digits is 107495424, while the sum is 63.

The spelling of 1949384634624 in words is "one trillion, nine hundred forty-nine billion, three hundred eighty-four million, six hundred thirty-four thousand, six hundred twenty-four".