36148577208900 has 144 divisors (see below), whose sum is σ = 112640611372800. Its totient is φ = 8897688483840.

The previous prime is 36148577208859. The next prime is 36148577209007. The reversal of 36148577208900 is 980277584163.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86210956 + ... + 86629244.

It is a 1-persistent number, because it is pandigital, but 2⋅36148577208900 = 72297154417800 is not.

Almost surely, 2^{36148577208900} is an apocalyptic number.

36148577208900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36148577208900 is an abundant number, since it is smaller than the sum of its proper divisors (76492034163900).

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

36148577208900 is a wasteful number, since it uses less digits than its factorization.

36148577208900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440478 (or 440471 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 60.

The spelling of 36148577208900 in words is "thirty-six trillion, one hundred forty-eight billion, five hundred seventy-seven million, two hundred eight thousand, nine hundred".