36198683136 has 640 divisors, whose sum is σ = 138025451520. Its totient is φ = 9090662400.

The previous prime is 36198683123. The next prime is 36198683149. The reversal of 36198683136 is 63138689163.

36198683136 is a `hidden beast` number, since 3 + 619 + 8 + 6 + 8 + 3 + 13 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (36198683123) and next prime (36198683149).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32997340 + ... + 32998436.

It is an arithmetic number, because the mean of its divisors is an integer number (215664768).

Almost surely, 2^36198683136 is an apocalyptic number.

36198683136 is a gapful number since it is divisible by the number (36) 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 36198683136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69012725760).

36198683136 is an abundant number, since it is smaller than the sum of its proper divisors (101826768384).

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

36198683136 is a wasteful number, since it uses less digits than its factorization.

36198683136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1151 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The spelling of 36198683136 in words is "thirty-six billion, one hundred ninety-eight million, six hundred eighty-three thousand, one hundred thirty-six".