36612145152 has 612 divisors, whose sum is σ = 126908185040. Its totient is φ = 10510663680.

The previous prime is 36612145151. The next prime is 36612145231. The reversal of 36612145152 is 25154121663.

36612145152 is a `hidden beast` number, since 36 + 6 + 121 + 451 + 52 = 666.

It is a super-2 number, since 2×36612145152² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (36612145151) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1926954999 + ... + 1926955017.

Almost surely, 2^36612145152 is an apocalyptic number.

36612145152 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 36612145152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63454092520).

36612145152 is an abundant number, since it is smaller than the sum of its proper divisors (90296039888).

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

36612145152 is an frugal number, since it uses more digits than its factorization.

36612145152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 35 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The spelling of 36612145152 in words is "thirty-six billion, six hundred twelve million, one hundred forty-five thousand, one hundred fifty-two".