945193536 has 315 divisors, whose sum is σ = 3313601577. Its totient is φ = 265628160.

The previous prime is 945193517. The next prime is 945193553. The reversal of 945193536 is 635391549.

The square root of 945193536 is 30744.

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

It can be written as a sum of positive squares in only one way, i.e., 30735936 + 914457600 = 5544^2 + 30240^2 .

It is a junction number, because it is equal to n+sod(n) for n = 945193491 and 945193500.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 15494946 + ... + 15495006.

Almost surely, 2^945193536 is an apocalyptic number.

945193536 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

945193536 is the 30744-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 945193536

945193536 is an abundant number, since it is smaller than the sum of its proper divisors (2368408041).

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

945193536 is an equidigital number, since it uses as much as digits as its factorization.

945193536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 73 counting only the distinct ones).

The product of its digits is 437400, while the sum is 45.

The cubic root of 945193536 is about 981.3868799218.

It can be divided in two parts, 945 and 193536, that added together give a 4-th power (194481 = 21⁴).

The spelling of 945193536 in words is "nine hundred forty-five million, one hundred ninety-three thousand, five hundred thirty-six".