36145614400 has 315 divisors, whose sum is σ = 104838794259. Its totient is φ = 12265021440.

The previous prime is 36145614397. The next prime is 36145614409. The reversal of 36145614400 is 441654163.

The square root of 36145614400 is 190120.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1329039936 + 34816574464 = 36456^2 + 186592^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36145614409) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 372635152 + ... + 372635248.

Almost surely, 2^36145614400 is an apocalyptic number.

36145614400 is the 190120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36145614400

36145614400 is an abundant number, since it is smaller than the sum of its proper divisors (68693179859).

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

36145614400 is an frugal number, since it uses more digits than its factorization.

36145614400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 36145614400 in words is "thirty-six billion, one hundred forty-five million, six hundred fourteen thousand, four hundred".