1966545504 has 288 divisors, whose sum is σ = 7076160000. Its totient is φ = 503193600.

The previous prime is 1966545487. The next prime is 1966545547. The reversal of 1966545504 is 4055456691.

1966545504 is a `hidden beast` number, since 1 + 96 + 6 + 5 + 4 + 550 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1966545504² = 7734602438605228032, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1966545504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1573872 + ... + 1575120.

It is an arithmetic number, because the mean of its divisors is an integer number (24570000).

Almost surely, 2^1966545504 is an apocalyptic number.

1966545504 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 1966545504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538080000).

1966545504 is an abundant number, since it is smaller than the sum of its proper divisors (5109614496).

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

1966545504 is a wasteful number, since it uses less digits than its factorization.

1966545504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 1966545504 is about 44345.7495595688. The cubic root of 1966545504 is about 1252.8565081698.

The spelling of 1966545504 in words is "one billion, nine hundred sixty-six million, five hundred forty-five thousand, five hundred four".