36545101632 has 84 divisors (see below), whose sum is σ = 112807645860. Its totient is φ = 11244644352.

The previous prime is 36545101631. The next prime is 36545101639. The reversal of 36545101632 is 23610154563.

36545101632 is a `hidden beast` number, since 3 + 6 + 5 + 4 + 5 + 10 + 1 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20916101376 + 15629000256 = 144624^2 + 125016^2 .

It is a super-3 number, since 3×36545101632³ (a number of 33 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36545101631) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2432757 + ... + 2447732.

It is an arithmetic number, because the mean of its divisors is an integer number (1342948165).

Almost surely, 2^36545101632 is an apocalyptic number.

36545101632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

36545101632 is an abundant number, since it is smaller than the sum of its proper divisors (76262544228).

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

36545101632 is a wasteful number, since it uses less digits than its factorization.

36545101632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4880520 (or 4880507 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 36545101632 in words is "thirty-six billion, five hundred forty-five million, one hundred one thousand, six hundred thirty-two".