36918214674432 has 384 divisors, whose sum is σ = 124092551681280. Its totient is φ = 9499186298880.

The previous prime is 36918214674403. The next prime is 36918214674433. The reversal of 36918214674432 is 23447641281963.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (36918214674433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22118008 + ... + 23728520.

It is an arithmetic number, because the mean of its divisors is an integer number (323157686670).

Almost surely, 2^{36918214674432} is an apocalyptic number.

36918214674432 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 36918214674432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62046275840640).

36918214674432 is an abundant number, since it is smaller than the sum of its proper divisors (87174337006848).

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

36918214674432 is a wasteful number, since it uses less digits than its factorization.

36918214674432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610599 (or 1610579 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 60.

The spelling of 36918214674432 in words is "thirty-six trillion, nine hundred eighteen billion, two hundred fourteen million, six hundred seventy-four thousand, four hundred thirty-two".