949829566464 has 459 divisors, whose sum is σ = 2911235937727. Its totient is φ = 309873475584.

The previous prime is 949829566457. The next prime is 949829566471. The reversal of 949829566464 is 464665928949.

The square root of 949829566464 is 974592.

It is a perfect power (a square), and thus also a powerful number.

949829566464 is a `hidden beast` number, since 9 + 4 + 98 + 29 + 56 + 6 + 464 = 666.

It is an interprime number because it is at equal distance from previous prime (949829566457) and next prime (949829566471).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 949829566392 and 949829566401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20209139689 + ... + 20209139735.

Almost surely, 2^949829566464 is an apocalyptic number.

949829566464 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

949829566464 is the 974592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 949829566464

949829566464 is an abundant number, since it is smaller than the sum of its proper divisors (1961406371263).

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

949829566464 is an frugal number, since it uses more digits than its factorization.

949829566464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 52 counting only the distinct ones).

The product of its digits is 806215680, while the sum is 72.

The spelling of 949829566464 in words is "nine hundred forty-nine billion, eight hundred twenty-nine million, five hundred sixty-six thousand, four hundred sixty-four".