1949465664 has 112 divisors (see below), whose sum is σ = 6032804800. Its totient is φ = 615610368.

The previous prime is 1949465647. The next prime is 1949465677. The reversal of 1949465664 is 4665649491.

It is a super-2 number, since 2×1949465664² = 7600832750229921792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1949465664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3144 + ... + 62520.

Almost surely, 2^1949465664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1949465664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3016402400).

1949465664 is an abundant number, since it is smaller than the sum of its proper divisors (4083339136).

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

1949465664 is a wasteful number, since it uses less digits than its factorization.

1949465664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59417 (or 59401 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 1949465664 is about 44152.7537533051. The cubic root of 1949465664 is about 1249.2188536033.

It can be divided in two parts, 19494 and 65664, that added together give a palindrome (85158).

The spelling of 1949465664 in words is "one billion, nine hundred forty-nine million, four hundred sixty-five thousand, six hundred sixty-four".