36125677495296 has 297 divisors, whose sum is σ = 105309505185339. Its totient is φ = 11927837933568.

The previous prime is 36125677495277. The next prime is 36125677495331. The reversal of 36125677495296 is 69259477652163.

The square root of 36125677495296 is 6010464.

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

36125677495296 is a `hidden beast` number, since 3 + 6 + 1 + 2 + 56 + 7 + 7 + 49 + 529 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8206712349696 + 27918965145600 = 2864736^2 + 5283840^2 .

It is a super-2 number, since 2×36125677495296² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 79049622300 + ... + 79049622756.

Almost surely, 2^{36125677495296} is an apocalyptic number.

36125677495296 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

36125677495296 is the 6010464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36125677495296

36125677495296 is an abundant number, since it is smaller than the sum of its proper divisors (69183827690043).

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

36125677495296 is an frugal number, since it uses more digits than its factorization.

36125677495296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 599 counting only the distinct ones).

The product of its digits is 1028764800, while the sum is 72.

The spelling of 36125677495296 in words is "thirty-six trillion, one hundred twenty-five billion, six hundred seventy-seven million, four hundred ninety-five thousand, two hundred ninety-six".