36038458265616 has 135 divisors (see below), whose sum is σ = 102807400816029. Its totient is φ = 11784913785216.

The previous prime is 36038458265569. The next prime is 36038458265627. The reversal of 36038458265616 is 61656285483063.

The square root of 36038458265616 is 6003204.

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

36038458265616 is a `hidden beast` number, since 3 + 6 + 0 + 3 + 8 + 4 + 5 + 8 + 2 + 6 + 5 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25980020643600 + 10058437622016 = 5097060^2 + 3171504^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3818033025 + ... + 3818042463.

Almost surely, 2^{36038458265616} is an apocalyptic number.

36038458265616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

36038458265616 is the 6003204-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36038458265616

36038458265616 is an abundant number, since it is smaller than the sum of its proper divisors (66768942550413).

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

36038458265616 is an frugal number, since it uses more digits than its factorization.

36038458265616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18998 (or 9497 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 36038458265616 in words is "thirty-six trillion, thirty-eight billion, four hundred fifty-eight million, two hundred sixty-five thousand, six hundred sixteen".