36125848512 has 336 divisors, whose sum is σ = 121183928320. Its totient is φ = 10189670400.

The previous prime is 36125848483. The next prime is 36125848519. The reversal of 36125848512 is 21584852163.

36125848512 is a `hidden beast` number, since 3 + 6 + 12 + 584 + 8 + 51 + 2 = 666.

It is a super-2 number, since 2×36125848512² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36125848519) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4406337 + ... + 4414527.

Almost surely, 2^36125848512 is an apocalyptic number.

36125848512 is a gapful number since it is divisible by the number (32) 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 36125848512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60591964160).

36125848512 is an abundant number, since it is smaller than the sum of its proper divisors (85058079808).

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

36125848512 is a wasteful number, since it uses less digits than its factorization.

36125848512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8272 (or 8259 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The spelling of 36125848512 in words is "thirty-six billion, one hundred twenty-five million, eight hundred forty-eight thousand, five hundred twelve".