945656544 has 192 divisors, whose sum is σ = 2941747200. Its totient is φ = 260402688.

The previous prime is 945656521. The next prime is 945656549. The reversal of 945656544 is 445656549.

It is a super-3 number, since 3×945656544³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 945656493 and 945656502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (945656549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2494947 + ... + 2495325.

It is an arithmetic number, because the mean of its divisors is an integer number (15321600).

Almost surely, 2^945656544 is an apocalyptic number.

945656544 is a gapful number since it is divisible by the number (94) 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 945656544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470873600).

945656544 is an abundant number, since it is smaller than the sum of its proper divisors (1996090656).

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

945656544 is a wasteful number, since it uses less digits than its factorization.

945656544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 517 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 48.

The square root of 945656544 is about 30751.5291327114. The cubic root of 945656544 is about 981.5470995962.

The spelling of 945656544 in words is "nine hundred forty-five million, six hundred fifty-six thousand, five hundred forty-four".