36149652000 has 2016 divisors, whose sum is σ = 176340737664. Its totient is φ = 7185024000.

The previous prime is 36149651981. The next prime is 36149652013. The reversal of 36149652000 is 25694163.

It is a happy number.

36149652000 is a `hidden beast` number, since 36 + 14 + 96 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×36149652000² (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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1571723989 + ... + 1571724011.

It is an arithmetic number, because the mean of its divisors is an integer number (87470604).

Almost surely, 2^36149652000 is an apocalyptic number.

36149652000 is a gapful number since it is divisible by the number (30) 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 36149652000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88170368832).

36149652000 is an abundant number, since it is smaller than the sum of its proper divisors (140191085664).

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

36149652000 is a wasteful number, since it uses less digits than its factorization.

36149652000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 36149652000 in words is "thirty-six billion, one hundred forty-nine million, six hundred fifty-two thousand".