36436301106144 has 96 divisors (see below), whose sum is σ = 95834309590656. Its totient is φ = 12121454906880.

The previous prime is 36436301106131. The next prime is 36436301106167. The reversal of 36436301106144 is 44160110363463.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 36436301106096 and 36436301106105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99001314 + ... + 99368670.

It is an arithmetic number, because the mean of its divisors is an integer number (998274058236).

Almost surely, 2^{36436301106144} is an apocalyptic number.

It is an amenable number.

36436301106144 is an abundant number, since it is smaller than the sum of its proper divisors (59398008484512).

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

36436301106144 is a wasteful number, since it uses less digits than its factorization.

36436301106144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369408 (or 369400 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The spelling of 36436301106144 in words is "thirty-six trillion, four hundred thirty-six billion, three hundred one million, one hundred six thousand, one hundred forty-four".